This research area includes analysis of differential equations, especially those which occur in applications in the natural sciences, such as fluid dynamics, materials science, or mathematical physics. Analysis and Partial Differential Equations also includes topics like calculus of variations, harmonic/wavelet analysis, and classic analysis.

The SIAM Student Paper Prize is awarded annually to the student author(s) of the most outstanding paper(s) accepted by SIAM journals within the three years preceding the nomination deadline. Starting with the 2018 award, the focus of the prize is to recognize outstanding scholarship by students in SIAM journals.

By Shijie Dong SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 595-615, January 2022. We are interested in the Klein--Gordon--Zakharov equations in $\mathbb{R}^{1+3}$, and we aim to show that the...

By Samuel A. Isaacson, Jingwei Ma, and Konstantinos Spiliopoulos SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 453-511, January 2022. Particle-based stochastic reaction-diffusion (PBSRD) models are a popular approach for studying biological systems involving both noise...

By Emilio Acerbi, Chao-Nien Chen, and Yung-Sze Choi SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 558-594, January 2022. Equilibrium models based on a free energy functional deserve special interest in recent investigations, as their...

By Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, Sonia Fliss, Christophe Hazard, Karl-Mikael Perfekt, and Yohanes Tjandrawidjaja SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 512-557, January 2022. The half-space matching (HSM) method has recently been developed as a new method for the solution...

By Yu Gao, Hao Liu, and Tak Kwong Wong SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 423-452, January 2022. In this paper we characterize the regularity structure, as well as show the global-in-time existence and...

By Wei Li, Karl-Mikael Perfekt, and Stephen P. Shipman SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 343-362, January 2022. This article constructs a surface whose Neumann--Poincaré (NP) integral operator has infinitely many eigenvalues embedded in...

By T. V. Anoop, Vladimir Bobkov, and Pavel Drábek SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 389-422, January 2022. Let $\mu_2(\Omega)$ be the first positive eigenvalue of the Neumann Laplacian in a bounded domain $\Omega...

By Liang Chen, Ming Mei, Guojing Zhang, and Kaijun Zhang SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 363-388, January 2022. In this paper, we mainly focus on radial transonic solutions for the steady hydrodynamic model of...

By Pietro Baldi and Emanuele Haus SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 306-342, January 2022. We consider the Kirchhoff equation $\partial_{tt} u - \Delta u \big( 1 + \int_{\mathbb{T}^d} |\nabla u|^2...

By Shijie Dong SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 595-615, January 2022. We are interested in the Klein--Gordon--Zakharov equations in $\mathbb{R}^{1+3}$, and we aim to show that the...

By Samuel A. Isaacson, Jingwei Ma, and Konstantinos Spiliopoulos SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 453-511, January 2022. Particle-based stochastic reaction-diffusion (PBSRD) models are a popular approach for studying biological systems involving both noise...

By Emilio Acerbi, Chao-Nien Chen, and Yung-Sze Choi SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 558-594, January 2022. Equilibrium models based on a free energy functional deserve special interest in recent investigations, as their...

By Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, Sonia Fliss, Christophe Hazard, Karl-Mikael Perfekt, and Yohanes Tjandrawidjaja SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 512-557, January 2022. The half-space matching (HSM) method has recently been developed as a new method for the solution...

By Yu Gao, Hao Liu, and Tak Kwong Wong SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 423-452, January 2022. In this paper we characterize the regularity structure, as well as show the global-in-time existence and...

By Wei Li, Karl-Mikael Perfekt, and Stephen P. Shipman SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 343-362, January 2022. This article constructs a surface whose Neumann--Poincaré (NP) integral operator has infinitely many eigenvalues embedded in...

By T. V. Anoop, Vladimir Bobkov, and Pavel Drábek SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 389-422, January 2022. Let $\mu_2(\Omega)$ be the first positive eigenvalue of the Neumann Laplacian in a bounded domain $\Omega...

By Liang Chen, Ming Mei, Guojing Zhang, and Kaijun Zhang SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 363-388, January 2022. In this paper, we mainly focus on radial transonic solutions for the steady hydrodynamic model of...

By Pietro Baldi and Emanuele Haus SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 306-342, January 2022. We consider the Kirchhoff equation $\partial_{tt} u - \Delta u \big( 1 + \int_{\mathbb{T}^d} |\nabla u|^2...

By Feng Dai and Bin Liu SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 1-35, January 2022. This paper deals with the two species cancer invasion haptotaxis model $c_{1t}=\Delta c_1-\chi_1\nabla\cdot(c_1\nabla v)-\mu_{EMT}c_1+\mu_1c_1(r_1-c_1-c_2-v);\;c_{2t}=\Delta c_2-\chi_2\nabla\cdot(c_2\nabla v)+\mu_{EMT}c_1+...

By Helmut Abels and Maximilian Moser SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 114-172, January 2022. This paper is concerned with the sharp interface limit for the Allen--Cahn equation with a nonlinear...

By Kai Yang, Chongchun Zeng, and Xiaoyi Zhang SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 173-219, January 2022. We consider the focusing energy critical nonlinear Schrödinger equation (NLS) with inverse square potential in dimension...

By Julian Fischer, Katharina Hopf, Michael Kniely, and Alexander Mielke SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 220-267, January 2022. We establish global-in-time existence results for thermodynamically consistent reaction-(cross-)diffusion systems coupled to an equation describing heat...

By Anna Kostianko, Xinhua Li, Chunyou Sun, and Sergey Zelik SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 268-305, January 2022. The paper gives a comprehensive study of inertial manifolds for semilinear parabolic equations and their smoothness...

By Davide Buoso and James B. Kennedy SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 36-78, January 2022. We introduce Robin boundary conditions for biharmonic operators, which are a model for elastically supported plates...

By Donati Martin SIAM Journal on Mathematical Analysis, Volume 54, Issue 1, Page 79-113, January 2022. In this paper, we prove that in bounded planar domains with $C^{2,\alpha}$ boundary, for almost every...

By Yan-Yu Chen, Hirokazu Ninomiya, and Chang-Hong Wu SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 7081-7112, January 2021. The FitzHugh--Nagumo system has been studied extensively for several decades. It has been shown numerically that...

By Pu-Zhao Kow, Gunther Uhlmann, and Jenn-Nan Wang SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 7062-7080, January 2021. In this work we study the optimality of increasing stability of the inverse boundary value problem...

By Fangyu Han, Zhong Tan, and Ganshan Yang SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 7024-7061, January 2021. It is known that the Walker domain wall can be obtained by the rotation group action...

By Yury Grabovsky and Narek Hovsepyan SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6993-7023, January 2021. We study the degree of reliability of extrapolation of complex electromagnetic permittivity functions based on their...

By Weiwei Ao, Yehui Huang, Yong Liu, and Juncheng Wei SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6959-6992, January 2021. New finite energy traveling wave solutions with small speed are constructed for the three dimensional Gross--Pitaevskii...

By Krzysztof J. Ciosmak SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6932-6958, January 2021. We characterize equality cases in matrix Hölder's inequality and develop a divergence formulation of optimal transport...

By Lucio Boccardo and Luigi Orsina SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6910-6931, January 2021. In this paper we prove existence of solutions for an elliptic system related to the stationary...

By Lei Zhang and Xiao-Qiang Zhao SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6873-6909, January 2021. This paper is devoted to the research on asymptotic behavior of the basic reproduction ratio...

By Nicolas Fournier and Benoît Perthame SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6847-6872, January 2021. Structured equations are a standard modeling tool in mathematical biology. They are integro-differential equations where the...

By Zhengguang Guo, Yun Wang, and Chunjing Xie SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6804-6821, January 2021. In this paper, global strong axisymmetric solutions for the inhomogeneous incompressible Navier--Stokes system are...

By Venkateswaran P. Krishnan, Rakesh Rakesh, and Soumen Senapati SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6822-6846, January 2021. We prove stability for a formally determined inverse problem for a hyperbolic PDE in one or...

By William E. Fitzgibbon, Jeffrey J. Morgan, Bao Q. Tang, and Hong-Ming Yin SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6771-6803, January 2021. In this paper, we study unique, globally defined uniformly bounded weak solutions for a class of...

By Animikh Biswas and Randy Price SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6697-6723, January 2021. In this paper, we identify conditions, based solely on the observed data, for the global well-posedness,...

By Jeffrey Galkowski, Pierre Marchand, and Euan A. Spence SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6724-6770, January 2021. For the Helmholtz equation posed in the exterior of a Dirichlet obstacle, we prove that if...

By Ruiwen Shu SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6562-6616, January 2021. This paper studies the large time behavior of aggregation-diffusion equations. For one spatial dimension with certain...

By Yuan Cai and Fan Wang SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6654-6696, January 2021. In this article, we prove global existence of classical solutions to the incompressible isotropic Hookean elastodynamics...

By Lili Yan SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6617-6653, January 2021. We study inverse boundary problems for first order perturbations of the biharmonic operator on a...

By Wei Hong, Shihu Li, and Wei Liu SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6517-6561, January 2021. This work is concerned with a Freidlin--Wentzell type large deviation principle for a family of multiscale...

By Kyungkeun Kang and Xing-bin Pan SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6471-6516, January 2021. We study a quasilinear parabolic curl system, which comes from a time-dependent version of the elliptic...

By Weihua Gong, Fujun Zhou, and Weijun Wu SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6424-6470, January 2021. In this paper, we construct the global strong solution and justify the incompressible Navier--Stokes--Fourier--Poisson limit of...

By Noah Stevenson and Ian Tice SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6370-6423, January 2021. For a natural number $m \ge 2$, we study $m$ layers of finite depth, horizontally infinite,...

By Keisuke Takasao SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6355-6369, January 2021. We consider the obstacle problem of the weak solution to the mean curvature flow, in the...

By Raymond Boute SIAM Review, Volume 63, Issue 4, Page 854-864, January 2021. The multivariable chain rule is often challenging to students because it is usually presented with ambiguities and other defects...

By Chris Brimacombe, Robert M. Corless, and Mair Zamir SIAM Review, Volume 63, Issue 4, Page 653-720, January 2021. Mathieu functions of period $\pi$ or $2\pi$, also called elliptic cylinder functions, were introduced in 1868 by Émile Mathieu...

By Christian Clason, Carla Tameling, and Benedikt Wirth SIAM Review, Volume 63, Issue 4, Page 783-821, January 2021. We consider a class of infinite-dimensional optimization problems in which a distributed vector-valued variable should pointwise almost everywhere take...

By Geng Chen, Gui-Qiang G. Chen, and Shengguo Zhu SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6280-6325, January 2021. We are concerned with the formation of singularities and the existence of global continuous solutions of...

By Gianmarco Mengaldo, David Moxey, Michael Turner, Rodrigo Costa Moura, Ayad Jassim, Mark Taylor, Joaquim Peiró, and Spencer Sherwin SIAM Review, Volume 63, Issue 4, Page 723-755, January 2021. We present a successful deployment of high-fidelity large-eddy simulation (LES) technologies based on spectral/$hp$ element methods to industrial flow...

By Arthur E. P. Veldman SIAM Review, Volume 63, Issue 4, Page 756-779, January 2021. It has been found advantageous for finite-volume discretizations of flow equations to possess additional (secondary) invariants, besides the (primary)...

By Mengjia Xu SIAM Review, Volume 63, Issue 4, Page 825-853, January 2021. Graph analytics can lead to better quantitative understanding and control of complex networks, but traditional methods suffer from the...

By Houcine Meftahi SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6326-6354, January 2021. In this paper, we consider the inverse problem of recovering a diffusion $\sigma$ and absorption...

By Misha E. Kilmer SIAM Review, Volume 63, Issue 4, Page 721-721, January 2021. The car-themed cover art on the current issue of SIAM Review is courtesy of the first of two Research...

By Darinka Dentcheva SIAM Review, Volume 63, Issue 4, Page 823-823, January 2021. The Education section in this issue presents two papers. The first paper, “Understanding Graph Embedding Methods and Their Applications,”...

By J. M. Sanz-Serna SIAM Review, Volume 63, Issue 4, Page 651-651, January 2021. The Survey and Review paper in this issue, “Computation and Applications of Mathieu Functions: A Historical Perspective,” by Chris...

By Volker H. Schulz SIAM Review, Volume 63, Issue 4, Page 867-875, January 2021. The first half of this section is devoted to books related to data science. The featured review on the...

By The Editors SIAM Review, Volume 63, Issue 4, Page 781-781, January 2021. The SIGEST article in this issue, which comes from the SIAM Journal on Control and Optimization (SICON), is “Convex...

By Lorena Bociu, Sunčica Canic, Boris Muha, and Justin T. Webster SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6243-6279, January 2021. We consider the interaction between an incompressible, viscous fluid modeled by the dynamic Stokes equation and...

By Adán J. Corcho and Hichem Hajaiej SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6191-6215, January 2021. We study a “nonequilibrium" Gross--Pitaevskii type system recently proposed to model exciton-polariton condensates. The coupled...

By Sili Liu, Yong Lu, and Huanyao Wen SIAM Journal on Mathematical Analysis, Volume 53, Issue 6, Page 6216-6242, January 2021. This article is devoted to the global well-posedness and associated time-decay estimates of strong solutions for...

By Huancheng Yao and Changjiang Zhu SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 6122-6163, January 2021. We study the large-time-asymptotic behavior of solutions toward the combination of a viscous contact wave with...

By Renjun Duan, Shuangqian Liu, and Tong Yang SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 6164-6190, January 2021. In this paper we consider the Vlasov--Nordström--Fokker--Planck system in the whole space. The kinetic model is...

By Shifeng Geng, Feimin Huang, and Xiaochun Wu SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 6048-6072, January 2021. In this paper, the large time behavior of an entropy solution to the compressible Euler...

By Renjun Duan, Haiyan Yin, and Changjiang Zhu SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 6094-6121, January 2021. This paper is concerned with the initial-boundary value problem on the full Euler--Poisson system for ions...

By Suhua Lai, Jiahong Wu, and Jianwen Zhang SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 6073-6093, January 2021. This paper intends to study an experimentally observed stabilizing phenomenon and to prove a mathematically rigorous...

By Zhen-Qing Chen, Weihua Deng, and Pengbo Xu SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 6017-6047, January 2021. We develop a new approach to the study of the Feynman--Kac transform for...

By Pablo Arratia, Matías Courdurier, Evelyn Cueva, Axel Osses, and Benjamín Palacios SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5948-5978, January 2021. In this work we study a Lipschitz stability result in the reconstruction of a compactly supported...

By Mimi Dai SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5979-6016, January 2021. Nonunique weak solutions in Leray--Hopf class are constructed for the three-dimensional magneto-hydrodynamics with Hall effect. We...

By T. M. Dunster SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5915-5947, January 2021. Nield--Kuznetsov functions of the first kind are studied, which are solutions of an inhomogeneous parabolic Weber...

By Guillaume Carlier, Katharina Eichinger, and Alexey Kroshnin SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5880-5914, January 2021. In this paper, we investigate properties of entropy-penalized Wasserstein barycenters introduced in [J. Bigot, E. Cazelles,...

By Thomas Hogancamp SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5853-5879, January 2021. We develop a global bifurcation theory for two classes of nonlinear elastic materials. It is supposed...

By Yiping Zhang SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5835-5852, January 2021. In this paper, for a family of second-order parabolic equations with rapidly oscillating and time-dependent periodic...

By Alberto Boscaggin, Walter Dambrosio, and Guglielmo Feltrin SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5813-5834, January 2021. We consider the perturbed relativistic Kepler problem $\frac{{d}}{{d}t}(m\dot{x}/\sqrt{1-|\dot{x}|^2/c^2}) = -\alpha\, x / |x|^3 + \varepsilon...

By Rowan Killip, Jason Murphy, and Monica Visan SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5803-5812, January 2021. We consider the nonlinear Schrödinger equation in three space dimensions with combined focusing cubic and defocusing...

By Ruoxuan Yang SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5756-5802, January 2021. We prove finite time blowup of the Burgers--Hilbert equation. We construct smooth initial data with finite...

By Chunrong Feng and Huaizhong Zhao SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5646-5681, January 2021. In this paper, we study the ergodicity of an invariant sublinear expectation of sublinear Markovian semigroups....

By Matteo Negri and Riccardo Scala SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5682-5730, January 2021. We study the dynamics of viscoelastic materials coupled by a common cohesive interface (or, equivalently, two...

By Yanheng Ding, Qi Guo, and Bernhard Ruf SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5731-5755, January 2021. We show existence and multiplicity results for nonlinear Dirac--Klein--Gordon systems with two different nonlinear interaction terms....

By Mihaela Ignatova and Jingyang Shu SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5507-5547, January 2021. We consider the initial value problem for the Nernst--Planck equations coupled to the incompressible Euler equations...

By Siqi Ren, Dongyi Wei, and Zhifei Zhang SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5548-5579, January 2021. In this paper, we study the linearized MHD equations around a steady flowing plasma with the...

By Yongkai Liao, Huijiang Zhao, and Jiawei Zhou SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5580-5612, January 2021. We establish the existence of global large smooth solutions to one-dimensional, compressible Navier--Stokes system for a...

By Kui Ren, Hongkai Zhao, and Yimin Zhong SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5613-5645, January 2021. We study an integral formulation for the radiative transfer equation in anisotropic media with truncated approximation...

By Jianfeng Lu, Zuowei Shen, Haizhao Yang, and Shijun Zhang SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5465-5506, January 2021. This paper establishes the optimal approximation error characterization of deep rectified linear unit (ReLU) networks...

By Michael Vogelius and Jingni Xiao SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5436-5464, January 2021. In this paper we introduce an approach to establish finiteness results for the set of wave...

By Hui Li, Wei Wang, and Zhifei Zhang SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5405-5435, January 2021. In this paper, we prove the local well-posedness of the free boundary problem in incompressible elastodynamics...

By Eric A. Carlen, Ian Jauslin, and Elliott H. Lieb SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5322-5360, January 2021. In a recent paper we studied an equation (called the “simple equation'') introduced by one of...

By Wenjun Wang SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5361-5404, January 2021. We consider a simplified model for radiating flows in $\mathbb{R}^3$. It consists of the barotropic Navier--Stokes...

By Shuang Liu, Yuan Lou, Rui Peng, and Maolin Zhou SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5243-5277, January 2021. We investigate the effect of large advection on the principal eigenvalues of linear time-periodic parabolic...

By Mikhail I. Belishev and Dmitrii V. Korikov SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5278-5287, January 2021. Let $(M,g)$ be a smooth compact two-dimensional Riemannian manifold with boundary, and $\Lambda_g: f\mapsto\partial_\nu u|_{\partial...

By Diego Chamorro and Jiao He SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5288-5321, January 2021. We study here a new generalization of Caffarelli, Kohn and Nirenberg's partial regularity theory for weak...

By Jian-Guo Liu and Xiangsheng Xu SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5215-5242, January 2021. In this paper we study a cross-diffusion system whose coefficient matrix is non-symmetric and degenerate. The...

By Changzhen Sun SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5114-5157, January 2021. This article is devoted to the long-term regularity of the two-dimensional Navier--Stokes--Poisson system. We allow...

By José A. Can͂izo, Pierre Gabriel, and Havva Yoldaş SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5185-5214, January 2021. We study the long-time behavior of the growth-fragmentation equation, a nonlocal linear evolution equation describing a...

By Kui Ren and Yimin Zhong SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5158-5184, January 2021. Motivated by applications in quantitative photoacoustic imaging, we study inverse problems to a semilinear radiative transport...

By Angkana Rüland SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5094-5113, January 2021. In this short article we complement the known single measurement uniqueness result for the fractional Calderón...

By Roberto Alicandro, Giuliano Lazzaroni, and Mariapia Palombaro SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 5060-5093, January 2021. The purpose of this paper is the derivation, in the framework of Gamma-convergence, of linear elastic...

By Shijin Ding, Zhilin Lin, and Feng Xie SIAM Journal on Mathematical Analysis, Volume 53, Issue 5, Page 4997-5059, January 2021. In this paper, we are concerned with the validity of Prandtl boundary layer expansion for the...

By Xiaojing Dong and Anmin Mao SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4965-4984, January 2021. In this paper, we prove a class of general quasilinear elliptic equations which admits infinitely many...

By Jacob Körner and Gerhard Rein SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4985-4996, January 2021. We prove a local existence and uniqueness result for the nonrelativistic and relativistic Vlasov--Poisson system for...

By Alexander Menovschikov, Anastasia Molchanova, and Luca Scarpa SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4865-4907, January 2021. We propose an extension of the classical variational theory of evolution equations that accounts for dynamics...

By Daniel Sinambela SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4812-4864, January 2021. We present a large-amplitude existence theory for two-dimensional solitary waves propagating through a two layer...

By Robert Stephen Cantrell and King-Yeung Lam SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4933-4964, January 2021. For any $N \geq 2$, we show that there are choices of diffusion rates $\{d_i\}_{i=1}^N$ such...

By Mengmeng Wei, Ming Mei, Guojing Zhang, and Kaijun Zhang SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4908-4932, January 2021. In this paper, we investigate the existence and regularity of the smooth transonic steady solutions of...

By Kamil Dunst and Piotr Kokocki SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4727-4743, January 2021. In this paper, we study the singularity formation for the geometric flow of complex curves $z_t...

By Van Duong Dinh and Sahbi Keraani SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4765-4811, January 2021. We study long time dynamics of nonradial solutions to the focusing inhomogeneous nonlinear Schrödinger equation. By...

By Benjamin Dodson SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4744-4764, January 2021. In this paper we generalize a weak sequential result of [C. Fan, Int. Math. Res. Not....

By Raffaele Carlone, Michele Correggi, Marco Falconi, and Marco Olivieri SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4657-4691, January 2021. We study the dynamics of the three-dimensional polaron---a quantum particle coupled to bosonic fields---in the quasi-classical...

By Guanfa Wang, Yong Wang, and Jiawei Zhou SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4692-4726, January 2021. In this paper, we establish the global-in-time hydrodynamic limit of the Boltzmann equation to the planar...

By Ankik Kumar Giri and Philippe Laurençot SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4605-4636, January 2021. A mathematical model for collision-induced breakage is considered. Existence of weak solutions to the continuous nonlinear...

By Hongjie Dong and Seick Kim SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4637-4656, January 2021. We construct the Green function for second-order elliptic equations in nondivergence form when the mean oscillations...

By Benjamin Ciotti and Bo Li SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4568-4604, January 2021. We analyze the passage from discrete (i.e., point) charges and the corresponding discrete electrostatic energies to...

By Theresa M. Simon SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4537-4567, January 2021. Based on a geometrically linearized theory, we describe the partition into twins observed in microstructures of...

By Stephen Pankavich SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4474-4512, January 2021. We consider the classical and relativistic Vlasov--Poisson systems with spherically symmetric initial data and prove the...

By Bangti Jin, Yavar Kian, and Zhi Zhou SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4445-4473, January 2021. In this article we study two inverse problems of recovering a space-time-dependent source component from the...

By Dingqun Deng SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4513-4536, January 2021. This article proves the regularity for the Boltzmann equation without angular cutoff with hard potential. By...

By Xiaoqian Gong and Matthias Kawski SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4417-4444, January 2021. We revisit a well-established model for highly re-entrant semiconductor manufacturing systems, and analyze it in the...

By Olivier Pinaud SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4401-4416, January 2021. In this work we study the concept of instantaneous time mirrors that were recently introduced in...

By Brendan W. Pass and Adolfo Vargas-Jiménez SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4386-4400, January 2021. We study a multi-marginal optimal transportation problem with a cost function of the form $c(x_{1}, \ldots,x_{m})=\sum_{k=1}^{m-1}|x_{k}-x_{k+1}|^{2}...

By Shreya Menon and John W. Cain SIAM Review, Volume 63, Issue 3, Page 625-637, January 2021. For students in applied mathematics courses, the phenomenon of delay-induced stability and instability offers exciting educational opportunities. Exploration...

By Matthew Colbrook, Andrew Horning, and Alex Townsend SIAM Review, Volume 63, Issue 3, Page 489-524, January 2021. Using the resolvent operator, we develop an algorithm for computing smoothed approximations of spectral measures associated with self-adjoint operators....

By R. Ryan Williams SIAM Review, Volume 63, Issue 3, Page 559-582, January 2021. We present a randomized method for computing the min-plus product (a.k.a. tropical product) of two $n \times n$...

By Emil Cătinaş SIAM Review, Volume 63, Issue 3, Page 585-624, January 2021. The high speed of $x_{k}\rightarrow x^\ast\in{\mathbb R}$ is usually measured using the $C$-, $Q$-, or $R$-orders: \[ łim \tfrac...

By Sarafa A. Iyaniwura, Tony Wong, Colin B. Macdonald, and Michael J. Ward SIAM Review, Volume 63, Issue 3, Page 525-555, January 2021. The determination of the mean first passage time (MFPT) for a Brownian particle in a bounded 2-D domain containing...

By Takashi Kagaya and Qing Liu SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4350-4385, January 2021. In this paper, we discuss a singular Neumann boundary problem for a class of nonlinear parabolic...

By Leo Torres, Ann S. Blevins, Danielle Bassett, and Tina Eliassi-Rad SIAM Review, Volume 63, Issue 3, Page 435-485, January 2021. Complex systems, composed at the most basic level of units and their interactions, describe phenomena in a wide variety...

By Misha E. Kilmer SIAM Review, Volume 63, Issue 3, Page 487-487, January 2021. The first of our two Research Spotlights articles in this issue gives a general framework and corresponding algorithm for...

By The Editors SIAM Review, Volume 63, Issue 3, Page 557-557, January 2021. The SIGEST article in this issue is “From Circuit Complexity to Faster All-Pairs Shortest Paths,” by R. Ryan Williams....

By Darinka Dentcheva SIAM Review, Volume 63, Issue 3, Page 583-583, January 2021. The Education section in this issue contains two papers. The first paper, “How Many Steps Still Left to ${x}^*$?,”...

By J. M. Sanz-Serna SIAM Review, Volume 63, Issue 3, Page 433-433, January 2021. Our Survey and Review paper, “The Why, How, and When of Representations for Complex Systems,” by Leo Torres, Ann...

By Volker H. Schulz SIAM Review, Volume 63, Issue 3, Page 641-650, January 2021. The majority of books in this issue are devoted to modeling in one form or another. The featured review...

By Adriana Garroni, Roberta Marziani, and Riccardo Scala SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4252-4302, January 2021. In this paper we derive a line tension model for dislocations in 3D starting from a...

By Elena Beretta, Elisa Francini, and Sergio Vessella SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4303-4327, January 2021. Using a distributed representation formula of the Gateaux derivative of the Dirichlet-to-Neumann map with respect to...

By Gergö Nemes SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4328-4349, January 2021. We prove the enveloping property of the known divergent asymptotic expansions of the large real zeros...

By Mikil Foss SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4212-4251, January 2021. This paper is concerned with developing a theory of traces for functions that are integrable but...

By Konstantinos Koumatos and Andreas P. Vikelis SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4178-4211, January 2021. A Gårding-type inequality is proved for a quadratic form associated to $\mathcal{A}$-quasiconvex functions. This quadratic...

By Todd A. Oliynyk SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4118-4141, January 2021. We establish the future stability of nonlinear perturbations of a class of homogeneous solutions to the...

By Yang Li and Yongzhong Sun SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4142-4177, January 2021. In this paper, we consider a two-dimensional nonresistive magnetohydrodynamic model, taking the fluctuation of absolute temperature...

By L. Baratchart, C. Gerhards, and A. Kegeles SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4096-4117, January 2021. For $\partial\Omega$ the boundary of a bounded and connected strongly Lipschitz domain in $\mathbb{R}^{d}$ with ...

By Martin Halla and Thorsten Hohage SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4068-4095, January 2021. We study the time-harmonic Galbrun equation describing the propagation of sound in the presence of a...

By Jiaqi Yang, Joan Gimeno, and Rafael De la Llave SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 4031-4067, January 2021. We consider state-dependent delay equations (SDDEs) obtained by adding delays to a planar ODE with a...

By Miroslav Bulíček, Josef Málek, Vít Průša, and Endre Süli SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 3985-4030, January 2021. We prove the existence of large-data global-in-time weak solutions to an evolutionary PDE system describing flows...

By Wentao Cao and Peng Jiang SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 3958-3984, January 2021. In this paper, we consider a fluid-particle system which describes the evolution of a two-phase flow....

By Alexandra Neamţu and Christian Kuehn SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 3912-3957, January 2021. Since the breakthrough in rough paths theory for stochastic ordinary differential equations, there has been a...

By Alexey Cheskidov and Xiaoyutao Luo SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 3856-3887, January 2021. In this paper, we study the energy balance for a class of solutions of the Navier--Stokes...

By George C. Hsiao and Tonatiuh Sánchez-Vizuet SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 3888-3911, January 2021. We study boundary integral formulations for an interior/exterior initial boundary value problem arising from the thermo-elasto-dynamic...

By Felipe Linares and Argenis J. Mendez SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 3838-3855, January 2021. We are concerned with the decay of long time solutions of the IVP associated to the...

By Emilia L. K. Blåsten and Hongyu Liu SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 3801-3837, January 2021. We consider several intriguingly connected topics in the theory of wave propagation: geometrical characterizations of radiationless...

By Louis Emerald SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 3772-3800, January 2021. In order to improve the frequency dispersion effects of irrotational shallow water models in coastal oceanography,...

By To Fu Ma, Jaqueline G. Mesquita, and Paulo N. Seminario-Huertas SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 3759-3771, January 2021. The Lamé system is a classical model for isotropic elasticity and has important applications in seismology....

By Ting-Hao Hsu and Shigui Ruan SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 3717-3758, January 2021. For a slow-fast system of the form $\dot{p}=\epsilon f(p,z,\epsilon)+h(p,z,\epsilon)$, $\dot{z}=g(p,z,\epsilon)$ for $(p,z)\in \mathbb R^n\times \mathbb R^m$,...

By Chenjie Fan and Weijun Xu SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3681-3715, January 2021. We prove a Wong--Zakai theorem for the defocusing stochastic mass-critical nonlinear Schrödinger equation on $\mathbb{R}$. The...

By Rainer Kress SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3661-3680, January 2021. For the solution of the scattering problem for time-harmonic electromagnetic waves with boundary conditions for the...

By Arianna Giunti and Juan J. López Velázquez SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3602-3643, January 2021. We are interested in the spectral properties of the magnetic Schrödinger operator $H_\varepsilon$ in a domain...

By Zehua Zhao and Jiqiang Zheng SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3644-3660, January 2021. In this article, we study long time dynamics for defocusing cubic nonlinear Schrödinger equations (NLS) on...

By Nicola Abatangelo and Matteo Cozzi SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3577-3601, January 2021. We investigate the existence and uniqueness of solutions to second-order elliptic boundary value problems containing a...

By Vito Crismale and Riccarda Rossi SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3420-3492, January 2021. A rate-independent model coupling small-strain associative elasto-plasticity and damage is studied via a vanishing-viscosity analysis with...

By Lorena Aguirre Salazar, Stan Alama, and Lia Bronsard SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3493-3519, January 2021. We consider two nonlocal variational models arising in physical contexts. The first is the Thomas--Fermi--Dirac--von...

By Paul Carter, Jens D. M. Rademacher, and Björn Sandstede SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3520-3576, January 2021. Motivated by pulse-replication phenomena observed in the FitzHugh--Nagumo equation, we investigate traveling pulses whose slow/fast profiles...

By Philippe Laurençot and Christian Stinner SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3385-3419, January 2021. We study a chemotaxis model describing the space and time evolution in a smooth and bounded...

By Daniel Ginsberg SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3366-3384, January 2021. We prove a continuation criterion for incompressible liquids with free surface boundary when the liquid occupies...

By Yuning Liu, Xin Yang Lu, and Xiang Xu SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3338-3365, January 2021. In this paper we study a gradient flow generated by the Landau--de Gennes free energy that...

By Yaobin Ou SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3265-3305, January 2021. In this paper, we study the low Mach and Froude number limit for the all-time classical...

By Huajun Gong, Changyou Wang, and Xiaotao Zhang SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3306-3337, January 2021. In this paper, inspired by the seminal work by Caffarelli, Kohn, and Nirenberg [Comm. Pure Appl....

By Wei-Xi Li and Tong Yang SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3236-3264, January 2021. We establish the well-posedness of the MHD boundary layer system in Gevrey function space without any...

By Young-Pil Choi, Seung-Yeal Ha, Qinghua Xiao, and Yinglong Zhang SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3188-3235, January 2021. We present global-in-time existence and uniqueness of strong solutions around a phase-homogeneous solution, and its large-time...

By Soojung Kim SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3123-3157, January 2021. We consider a magnetic effect on hydrodynamic flows of nematic liquid crystals with unequal elastic constants...

By Harbir Antil, Carlos N. Rautenberg, and Armin Schikorra SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3158-3187, January 2021. This paper provides an extension to fractional order Sobolev spaces of the classical result of Murat...

By Frank Rösler SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3098-3122, January 2021. We prove norm-resolvent and spectral convergence in $L^2$ of solutions to the Neumann Poisson problem $-\Delta...

By Changhui Tan SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3040-3071, January 2021. We study the global wellposedness of pressureless Eulerian dynamics in multidimensions, with radially symmetric data. Compared...

By Yekaterina Epshteyn, Chun Liu, and Masashi Mizuno SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3072-3097, January 2021. Most technologically useful materials are polycrystalline microstructures composed of myriad small monocrystalline grains separated by grain...

By Aigerim Madiyeva and Dmitry E. Pelinovsky SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3016-3039, January 2021. Peaked periodic waves in the Camassa--Holm equation are revisited. Linearized evolution equations are derived for perturbations...

By Xin Chen, Zhen-Qing Chen, Takashi Kumagai, and Jian Wang SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 2957-3001, January 2021. This paper studies homogenization of symmetric nonlocal Dirichlet forms with stable-like jumping kernels in a one-parameter...

By Yishu Gong and Siming He SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 2925-2956, January 2021. In this paper, we proposed a coupled Patlak--Keller--Segel--Navier--Stokes system, which has dissipative free energy. On the...

By Joonas Ilmavirta and Keijo Mönkkönen SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 3002-3015, January 2021. If the integrals of a one-form over all lines meeting a small open set vanish and...

By Florian Feppon SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 2890-2924, January 2021. We derive high order homogenized models for the incompressible Stokes system in a cubic domain filled...

By Gui-Qiang G. Chen, Jie Kuang, and Yongqian Zhang SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 2811-2862, January 2021. We are concerned with the structural stability of conical shocks in the three-dimensional steady supersonic flows...

By De-Han Chen and Irwin Yousept SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 2863-2889, January 2021. We propose and analyze variational source conditions (VSC) for the Tikhonov regularization method with $L^p$-penalties applied...

By Rui Peng and Yixiang Wu SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 2776-2810, January 2021. In this paper, we are concerned with an epidemic reaction-diffusion system with nonlinear incidence mechanism of...

By Volker H. Schulz SIAM Review, Volume 63, Issue 2, Page 419-431, January 2021. The April issue of SIAM News sadly reported on the death of Bob O'Malley (https://sinews.siam.org/Details-Page/obituary-robert-e-omalley-jr). He led the Book...

By The Editors SIAM Review, Volume 63, Issue 2, Page 373-373, January 2021. The SIGEST article in this issue is “A General Framework for Fractional Order Compartment Models,” by Christopher N. Angstmann,...

By J. M. Sanz-Serna SIAM Review, Volume 63, Issue 2, Page 247-247, January 2021. ``Stochastic Control Liaisons: Richard Sinkhorn Meets Gaspard Monge on a Schrödinger Bridge,” by Yongxin Chen, Tryphon T. Georgiou, and...

By Darinka Dentcheva SIAM Review, Volume 63, Issue 2, Page 393-393, January 2021. This issue of SIAM Review presents two papers in the Education section. The first paper, “Rotations in Three Dimensions,”...

By Misha E. Kilmer SIAM Review, Volume 63, Issue 2, Page 315-315, January 2021. Under what conditions does a semilinear parabolic equation have the maximum bound principle, and do numerical approximations of it...

By Christopher N. Angstmann, Austen M. Erickson, Bruce I. Henry, Anna V. McGann, John M. Murray, and James A. Nichols SIAM Review, Volume 63, Issue 2, Page 375-392, January 2021. Compartment models are a widely used class of models that are useful when considering the flow of objects, ...

By Art B. Owen and Daniel Rudolf SIAM Review, Volume 63, Issue 2, Page 360-372, January 2021. This article provides a strong law of large numbers for integration on digital nets randomized by a nested uniform...

By Qiang Du, Lili Ju, Xiao Li, and Zhonghua Qiao SIAM Review, Volume 63, Issue 2, Page 317-359, January 2021. The ubiquity of semilinear parabolic equations is clear from their numerous applications ranging from physics and biology to materials...

By Milton F. Maritz SIAM Review, Volume 63, Issue 2, Page 395-404, January 2021. The Rodrigues formula for the $3\times 3$ rotation matrix is hardly ever derived from first principles in a simple...

By Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon SIAM Review, Volume 63, Issue 2, Page 249-313, January 2021. In 1931--1932, Erwin Schrödinger studied a hot gas Gedankenexperiment (an instance of large deviations of the empirical distribution). Schrödinger's...

By Hakima Bessaih, Yalchin Efendiev, and Razvan Florian Maris SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 2718-2745, January 2021. In this paper, we study the homogenization of a coupled diffusion-convection system. We consider a highly...

By Pablo D. Brubeck, Yuji Nakatsukasa, and Lloyd N. Trefethen SIAM Review, Volume 63, Issue 2, Page 405-415, January 2021. Vandermonde matrices are exponentially ill-conditioned, rendering the familiar “polyval(polyfit)” algorithm for polynomial interpolation and least-squares fitting ineffective at higher...

By Yuzhe Zhu SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 2746-2775, January 2021. This article addresses the local boundedness and Hölder continuity of weak solutions to kinetic Fokker--Planck equations...

By Damien Chicaud, Patrick Ciarlet, and Axel Modave SIAM Journal on Mathematical Analysis, Volume 53, Issue 3, Page 2691-2717, January 2021. We consider the time-harmonic Maxwell's equations with physical parameters, namely, the electric permittivity and the magnetic...

By Chenyun Luo and Junyan Zhang SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2595-2630, January 2021. We consider the three-dimensional incompressible free-boundary magnetohydrodynamics (MHD) equations in a bounded domain with surface tension...

By Young-Pil Choi and Seok-Bae Yun SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2631-2659, January 2021. We study a Paveri-Fontana type model, which describes the evolution of the mesoscopic distribution of vehicles...

By Luca Rondi, Eva Sincich, and Mourad Sini SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2660-2689, January 2021. We deal with an inverse elastic scattering problem for the shape determination of a rigid scatterer...

By Lili Du and Yongfu Wang SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2523-2566, January 2021. In a classical survey [Mathematics in Industrial Problems, Springer-Verlag, New York, 1989, Chapter 16.2], Friedman proposed...

By Zhan Wang and Jiaqi Yang SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2567-2594, January 2021. We consider the motion of the interface between two inviscid, incompressible, and dielectric fluids with different...

By Douglas D. Novaes and Francisco B. Silva SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2476-2490, January 2021. Recently, the higher order averaging method for studying periodic solutions of both Lipschitz differential equations and...

By Song Jiang, Qiangchang Ju, and Yongkai Liao SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2491-2522, January 2021. We rigorously show the nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising in radiation hydrodynamics...

By Florian Dreier and Markus Haltmeier SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2427-2451, January 2021. We study the problem of recovering the initial data ($f, 0$) of the standard wave equation...

By Alexandre Rege SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2452-2475, January 2021. We show propagation of moments in velocity for the three-dimensional Vlasov--Poisson system with a uniform magnetic...

By Irene Fonseca, Janusz Ginster, and Stephan Wojtowytsch SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2373-2426, January 2021. It is shown that in core-radius cutoff regularized simplified elasticity (where the elastic energy depends quadratically...

By Huyuan Chen, Gilles Evéquoz, and Tobias Weth SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2349-2372, January 2021. We study a stationary scattering problem related to the nonlinear Helmholtz equation $ - \Delta u...

By Montie Avery and Arnd Scheel SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2206-2242, January 2021. We study nonlinear stability of pulled fronts in scalar parabolic equations on the real line of...

By Xueying Yu, Haitian Yue, and Zehua Zhao SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2243-2274, January 2021. In this paper, we prove the global well-posedness for the focusing, cubic nonlinear Schrödinger equation ...

By Animesh Biswas, Marta De León-Contreras, and Pablo Raúl Stinga SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2319-2348, January 2021. We study master equations of the form $(\partial_t+L)^su=f\ {in}~\mathbb{R}\times\Omega,$ where $L$ is a divergence form elliptic...

By Annika Bach, Marco Cicalese, and Matthias Ruf SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2275-2318, January 2021. We propose and analyze a finite-difference discretization of the Ambrosio--Tortorelli functional. It is known that if...

By Shengfu Deng and Shu-Ming Sun SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2134-2205, January 2021. The paper considers three-dimensional (3D) traveling surface waves on water of finite depth under the forces...

By Hai-Liang Li, Benoít Perthame, and Xinmei Wen SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2027-2083, January 2021. The Patlak--Keller--Segel model can be used to model the nonlocal aggregation phenomena in the collective motion...

By Davar Khoshnevisan, David Nualart, and Fei Pu SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2084-2133, January 2021. Suppose that $\{u(t\,, x)\}_{t >0, x \in{\mathbb{R}}^d}$ is the solution to a $d$-dimensional parabolic...

By Zachary Bradshaw and Tai-Peng Tsai SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1993-2026, January 2021. We establish existence of solutions in a scale of classes weaker than the finite energy Leray...

By Min Ji, Weiwei Qi, Zhongwei Shen, and Yingfei Yi SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1958-1992, January 2021. The present paper is devoted to the study of convergence of solutions of a Fokker--Planck equation...

By Shyam Sundar Ghoshal and Animesh Jana SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1908-1943, January 2021. This article deals with the regularity aspects of entropy solutions to scalar conservation laws. We show...

By Ze Li and Ming Wang SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1944-1957, January 2021. We prove an observability inequality from two time points for the linear KdV equation with an...

By Kensuke Yoshizawa SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1857-1885, January 2021. This paper is concerned with the variational problem for the elastic energy defined on symmetric graphs...

By Denise Aregba-Driollet, Stéphane Brull, and Yue-Jun Peng SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1886-1907, January 2021. The bitemperature Euler model describes a crucial step of inertial confinement fusion (ICF) when the plasma...

By L. Baratchart, S. Fueyo, G. Lebeau, and J.-B. Pomet SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1831-1856, January 2021. We give a sufficient condition for exponential stability of a network of lossless telegrapher's equations, coupled...

By Jinjing Liu and Zhenhua Guo SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1818-1830, January 2021. In this paper, we introduce a new effective velocity to study the nonlinear stability of viscous...

By Rita Ferreira, Irene Fonseca, and Raghavendra Venkatraman SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1785-1817, January 2021. We consider a homogenization problem associated with quasi-crystalline multiple integrals of the form $u_\varepsilon\in L^p(\Omega;\mathbbm{R}^d) \mapsto...

By Chérif Amrouche and Imane Boussetouan SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1745-1784, January 2021. In a three-dimensional bounded possibly multiply connected domain, we prove the existence, uniqueness, and regularity of...

By Ilias Ftouhi and Jimmy Lamboley SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1670-1710, January 2021. We are interested in the study of Blaschke--Santaló diagrams describing the possible inequalities involving the first...

By Pelin G. Geredeli SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1711-1744, January 2021. We consider a compressible flow-structure interaction (FSI) PDE system which is linearized about some reference rest...

By Younghoon Jung and Mikyoung Lim SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1630-1669, January 2021. We consider the conductivity transmission problem in two dimensions with a simply connected inclusion of arbitrary...

By Zhiyan Ding and Qin Li SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1546-1578, January 2021. The ensemble Kalman sampler (EKS) is a method introduced in [Garbuno-Inigo et al., SIAM J. Appl....

By Yanbo Hu and Jianjun Chen SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1579-1629, January 2021. We are concerned with the sonic-supersonic structures extracted from the transonic flow problems in gas dynamics....

By José A. Iglesias and Gwenael Mercier SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1509-1545, January 2021. We present some results of geometric convergence of level sets for solutions of total variation denoising...

By S. Eberle, F. Florian, R. Hiptmair, and S. A. Sauter SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1492-1508, January 2021. In this paper, we consider an acoustic wave transmission problem with mixed boundary conditions of Dirichlet,...

By Jeffrey Rauch and L. Ridgway Scott SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1474-1491, January 2021. The electrostatic potentials $\phi$ associated with neutral periodic crystals are defined by lattice sums that are...

By Zhengzheng Chen and Yeping Li SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1434-1473, January 2021. This paper is concerned with the time-asymptotic behavior of strong solutions to the initial-boundary value problem...

By Wei Dai, Zhao Liu, and Guolin Qin SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1379-1410, January 2021. In this paper, we are mainly concerned with the physically interesting static Schrödinger--Hartree--Maxwell type equations $(-\Delta)^{s}u(x)=(\frac{1}{|x|^{\sigma}}\ast...

By Youshan Tao and Michael Winkler SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1411-1433, January 2021. A three-component reaction-diffusion system is considered which originates from an extension of the classical May--Nowak model...

By Wilfrid Gangbo, Sergio Mayorga, and Andrzej Świeͅch SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1320-1356, January 2021. We prove that viscosity solutions of Hamilton--Jacobi--Bellman (HJB) equations, corresponding either to deterministic optimal control problems...

By Josephine Evans SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1357-1378, January 2021. This paper studies convergence to equilibrium for the spatially inhomogeneous linear relaxation Boltzmann equation in Boltzmann...

By Amal Attouchi, Hannes Luiro, and Mikko Parviainen SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1295-1319, January 2021. We define a random step size tug-of-war game and show that the gradient of a value...

By Xinlin Cao, Huaian Diao, Hongyu Liu, and Jun Zou SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1263-1294, January 2021. This is a continuation and an extension of our recent work [J. Math. Pures Appl., 143...

By Tino Franz and Holger Wendland SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 1239-1262, January 2021. The smoothed particle hydrodynamics (SPH) method is a popular, kernel-based discretization method for fluid-flow problems. ...

By A. Logioti, B. Niethammer, M. Röger, and J. J. L. Velázquez SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 1214-1238, January 2021. The amplification of an external signal is a key step in direction sensing of biological cells....

By Rossana Capuani, Prerona Dutta, and Khai T. Nguyen SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 1168-1190, January 2021. We establish a sharp estimate for a minimal number of binary digits (bits) needed to...

By Chiara Gavioli and Pavel Krejčí SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 1191-1213, January 2021. A PDE system consisting of the mechanical equilibrium and mass balance equations for displacement and capillary...

By Hermano Frid, Daniel Marroquin, and Joa͂o F.C. Nariyoshi SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 1122-1167, January 2021. We prove the existence and uniqueness of smooth solutions with large initial data for a system...

By Jia-Yuan Dai SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 1004-1028, January 2021. We prove the existence of $m$-armed spiral wave solutions for the complex Ginzburg--Landau equation in the...

By Nassif Ghoussoub, Young-Heon Kim, Hugo Lavenant, and Aaron Zeff Palmer SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 1070-1087, January 2021. We study compressible and incompressible nonlinear elasticity variational problems in a general context. Our main result...

By Giuseppe Buttazzo, Juan Casado-Díaz, and Faustino Maestre SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 1088-1121, January 2021. We consider elliptic equations of Schrödinger type with a right-hand side fixed and with the linear...

By Claudio Mun͂oz, Gustavo Ponce, and Jean-Claude Saut SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 1029-1048, January 2021. We show that the limit infimum, as time $\,t\,$ goes to infinity, of any uniformly...

By Ru-Yu Lai, Gunther Uhlmann, and Yang Yang SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 1049-1069, January 2021. We consider an inverse problem for the Boltzmann equation with nonlinear collision operator in dimensions $n\geq...

By Halil Ibrahim Kurt and Wenxian Shen SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 973-1003, January 2021. In recent years, a lot of attention has been drawn to the question of whether ...

By Julien Barré, Paul Dobson, Michela Ottobre, and Ewelina Zatorska SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 937-972, January 2021. We study a population of $N$ particles, which evolve according to a diffusion process and interact...

By Lu Lu, Xuhui Meng, Zhiping Mao, and George Em Karniadakis SIAM Review, Volume 63, Issue 1, Page 208-228, January 2021. Deep learning has achieved remarkable success in diverse applications; however, its use in solving partial differential equations (PDEs) has...

By Nicholas A. Battista SIAM Review, Volume 63, Issue 1, Page 181-207, January 2021. While students may find spline interpolation quite digestible based on their familiarity with the continuity of a function and...

By Bengt Fornberg SIAM Review, Volume 63, Issue 1, Page 167-180, January 2021. The trapezoidal rule uses function values at equispaced nodes. It is very accurate for integrals over periodic intervals, but...

By Felipe Linares and Joa͂o P. G. Ramos SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 914-936, January 2021. We prove a high-dimensional version of the Strichartz estimates for the unitary group associated to the...

By Fioralba Cakoni and Hoai-Minh Nguyen SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 888-913, January 2021. In this paper, we establish the discreteness of transmission eigenvalues for Maxwell's equations. More precisely, we...

By Michelle Feng and Mason A. Porter SIAM Review, Volume 63, Issue 1, Page 67-99, January 2021. A crucial step in the analysis of persistent homology is the transformation of data into an appropriate topological object...

By Hao Chen and Martin Traizet SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 855-887, January 2021. We construct one-parameter families of nonperiodic embedded minimal surfaces of infinite genus in $T \times \mathbb{R}$,...

By Juan Kuntz, Philipp Thomas, Guy-Bart Stan, and Mauricio Barahona SIAM Review, Volume 63, Issue 1, Page 3-64, January 2021. Computing the stationary distributions of a continuous-time Markov chain (CTMC) involves solving a set of linear equations. In most...

By Nour Riman, Jonathan D. Victor, Sebastian D. Boie, and Bard Ermentrout SIAM Review, Volume 63, Issue 1, Page 100-120, January 2021. Animals use stereo sampling of odor concentration to localize sources and follow odor trails. We analyze the dynamics of...

By Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, and Michael Joswig SIAM Review, Volume 63, Issue 1, Page 123-164, January 2021. Tropical geometry has been recently used to obtain new complexity results in convex optimization and game theory. In this...

By Misha E. Kilmer SIAM Review, Volume 63, Issue 1, Page 65-65, January 2021. We have two Research Spotlights papers in the lineup this issue. The first of these, “Persistent Homology of...

By Darinka Dentcheva SIAM Review, Volume 63, Issue 1, Page 165-166, January 2021. This issue of SIAM Review presents three papers in the Education section. The first paper, “Improving the Accuracy of...

By J. M. Sanz-Serna SIAM Review, Volume 63, Issue 1, Page 1-1, January 2021. The use of probabilistic ideas by applied mathematicians has seen a continued increase in recent decades. Probability now...

By The Editors SIAM Review, Volume 63, Issue 1, Page 121-121, January 2021. The SIGEST article in this issue is “What Tropical Geometry Tells Us about the Complexity of Linear Programming,” by...

By Volker H. Schulz SIAM Review, Volume 63, Issue 1, Page 231-245, January 2021. The section opens with a review well written by a giant in the field of numerical solution of partial...

By Ibrokhimbek Akramov and Emil Wiedemann SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 795-812, January 2021. This paper is concerned with the existence of compactly supported admissible solutions to the Cauchy problem...

By Jianfeng Cheng and Lili Du SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 754-794, January 2021. This paper deals with a two-phase fluid free boundary problem in a slot-film cooling. We give...

By Marc Josien and Claudia Raithel SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 813-854, January 2021. In this article we are interested in quantitative homogenization results for linear elliptic equations in the...

By Abdelkader Al Sayed, Beniamin Bogosel, Antoine Henrot, and Florent Nacry SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 710-729, January 2021. In this paper, we address the problem of maximizing the Steklov eigenvalues with a diameter constraint....

By Masato Kimura and Patrick van Meurs SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 681-709, January 2021. We consider a large class of interacting particle systems in one dimension described by an ...

By Byung-Hoon Hwang and Seok-Bae Yun SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 730-753, January 2021. The Anderson--Witting model is a relativistic generalization of the Bhatnagar--Gross--Krook model which is well-known as the...

By Daniela De Silva and Ovidiu Savin SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 649-680, January 2021. We develop an existence and regularity theory for a class of degenerate one-phase free boundary problems....

By Yanjin Wang and Zhouping Xin SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 574-648, January 2021. Consider the dynamics of a layer of viscous incompressible fluid under the influence of gravity. The...

By Tadeusz Iwaniec, Jani Onninen, Pekka Pankka, and Teresa Radice SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 509-529, January 2021. This article is about hyperelastic deformations of plates (planar domains) which minimize a neohookean-type energy. Particularly,...

By Jiaxi Huang, Ning Jiang, Yi-Long Luo, and Lifeng Zhao SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 530-573, January 2021. In this article, we consider the hyperbolic Ericksen--Leslie system for incompressible liquid crystals without kinematic transport...

By Lauri Hitruhin and Sauli Lindberg SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 491-508, January 2021. We compute the lamination convex hull of the stationary incompressible porous media (IPM) equations. We also...

By Leonard C. Kreutz and Paolo Piovano SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 453-490, January 2021. A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by...

By Li Li SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 435-452, January 2021. We study a class of fractional parabolic equations involving a time-dependent magnetic potential and formulate the...

By Riccardo Montalto and Michela Procesi SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 386-434, January 2021. We study the reducibility of a linear Schrodinger equation subject to a small unbounded almost periodic...

By Carolin Kreisbeck and Elvira Zappale SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 351-385, January 2021. We provide explicit examples to show that the relaxation of functionals $L^p(\Omega;{\mathbb{R}}^m) \ni u\mapsto \int_\Omega\int_\Omega W(u(x),...

By Brian P. Cupps, Jeff Morgan, and Bao Quoc Tang SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 323-350, January 2021. We study the global existence and uniform-in-time bounds of classical solutions in all dimensions to reaction-diffusion...

By Pierre Cardaliaguet and Nicolas Forcadel SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 309-322, January 2021. The goal of this paper is to derive rigorously macroscopic traffic flow models from microscopic models....

By Rohit Kumar Mishra and Suman Kumar Sahoo SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 253-278, January 2021. We prove a new decomposition result for rank $m$ symmetric tensor fields which generalizes the well-known...

By Shangkun Weng, Chunjing Xie, and Zhouping Xin SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 279-308, January 2021. In this paper, we prove the structural stability of the transonic shocks for three-dimensional axisymmetric Euler...

By Darya E. Apushkinskaya, Alexander I. Nazarov, Dian K. Palagachev, and Lubomira G. Softova SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 221-252, January 2021. We study linear and quasilinear Venttsel boundary value problems involving elliptic operators with discontinuous coefficients. On...

By Djalil Chafaï, Grégoire Ferré, and Gabriel Stoltz SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 181-220, January 2021. We consider Coulomb gas models for which the empirical measure typically concentrates, when the number of...

By Peng Gao SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 32-61, January 2021. In this paper we establish an averaging principle for the complex Ginzburg--Landau equations, perturbed by...

By Gero Friesecke, Daniel Matthes, and Bernhard Schmitzer SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 62-110, January 2021. We study the barycenter of the Hellinger--Kantorovich metric over nonnegative measures on compact, convex subsets of...

By Tiejun Li and Xiaoguang Li SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 1-31, January 2021. The Onsager--Machlup (OM) and Freidlin--Wentzell (FW) functionals are both widely used in seeking the most probable...

By Carlos Kenig and Jiuyi Zhu SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 111-132, January 2021. The paper is mainly concerned with an approximate three-ball inequality for solutions in elliptic periodic homogenization....

By Gang Xu and Huicheng Yin SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 133-180, January 2021. In this paper, we are concerned with the global existence and stability of a smooth...

As I finish my first year leading this wonderful organization, I am proud to say SIAM has remained as committed as ever to its work of facilitating vital research and meaningful connections and ...

By Peter Kuchment
The following is a brief reflection from the author of The Radon Transform and Medical Imaging , which was published by SIAM in 2013 as part of the CBMS-NSF Regional ...

Following SIAM’s recent elections, we are pleased to announce our new President-Elect, Vice President-at-Large, and Secretary, as well as Board of Trustees members and Council, as elected by the ...

The following funding opportunity was shared by Oak Ridge Institute for Science and Education (ORISE) on November 9, 2021.
Now accepting applications for:
U.S. Department of Homeland ...

Last updated December 29, 2021.
Recognizing that travel disruptions due to the COVID-19 pandemic are ongoing, and in order to make SIAM conferences accessible to all those who wish to ...

By Paul Davis
Volker Mehrmann of Technische Universität Berlin routinely tackles difficult problems in systems modeling and control via port-Hamiltonian formulations. These are like special ...

The SIAM Student Paper Prize is awarded annually to the student author(s) of the most outstanding paper(s) accepted by SIAM journals within the three years preceding the nomination deadline. Starting with the 2018 award, the focus of the prize is to recognize outstanding scholarship by students in SIAM journals.

Established in 2011, the prize honors Gábor Szegö, a foremost mathematical analyst. It is awarded to one individual in their early career for outstanding research contributions in the area of orthogonal polynomials and special functions, as evidenced in publication in peer-reviewed journals.

This prize was created in 2013 to emphasize George Pólya’s legacy of communicating mathematics effectively. It joins two long-standing Pólya prizes SIAM has awarded in combinatorics and other fields beginning in 1969.

The prize was established in 1995, and named in honor of Germund Dahlquist for his early contributions to the theory of numerical analysis as applied to differential equations. It is awarded for original contributions to fields associated with his work.

Established in 2005, the paper is awarded to the author or authors of the most outstanding paper, as determined by the selection committee, on a topic in partial differential equations.

Established in 2019, the prize is awarded every two years to an early career researcher for recent contributions in the field of partial differential equations.

Established by Idalia Reid in honor of her husband W. T. Reid and first awarded in 1994, the W. T. and Idalia Reid Prize in Mathematics is awarded annually in the broadly-defined areas of differential equations and control theory.

This joint prize was established in 2002 to honor Sonia Kovalevsky and her work on the theory of differential equations. It is awarded to anyone in the scientific or engineering community whose work highlights the achievements of women in applied and computational mathematics. Nominations can be submitted via the AWM website.

Established in 1967, the prize honors George David Birkhoff (1884-1944), who served as the American Mathematical Society (AMS) President during 1925-1926. The prize is awarded every three years by SIAM and AMS for an outstanding contribution to applied mathematics. Nominations can be submitted via the AMS website.

The prize was established in 1986 in memory of Richard C. DiPrima, who served SIAM for many years and in 1979–1980 as SIAM President. It aims to recognize an early career researcher in applied mathematics and is based on the doctoral dissertation.

This prize was established in 1968 to commemorate Theodore von Kármán and his work in aerodynamics. It is awarded every five years for a notable application of mathematics to mechanics or engineering in the five to ten years preceding the award.

The Pioneer Prize is awarded every four years at the International Council for Industrial and Applied Mathematics (ICIAM) Congress to one individual for pioneering work introducing applied mathematical methods and scientific computing techniques to an industrial problem area or a new scientific field of applications. Nominations can be submitted via the ICIAM website.

Through the generosity and inspiration of Gerald and Judith Porter, the Mathematical Association of America (MAA), American Mathematical Society (AMS), and SIAM offer this annual lecture at the Joint Mathematics Meetings. The lecture, first awarded in 2010, is given on a mathematical topic accessible to the broader community.

Named in honor of I. E. Block, a co-founder and the first managing director of SIAM, this lecture is open to the public at the SIAM Annual Meeting. It is intended to encourage public appreciation of applied mathematics and computational science by reaching out to the local community.

Established in 1959, the prize honors John von Neumann, a founder of modern computing. The prize is awarded annually for distinguished contributions to applied mathematics and for the effective communication of these ideas to the community.

The JPBM Communications Award is given annually to reward and encourage communicators who, on a sustained basis, bring mathematical ideas and information to non-mathematical audiences. The prize may be awarded in two categories: For Public Outreach and For Expository and Popular Books. Nominations can be submitted via the AMS website.

The prize recognizes students for outstanding solutions to real world math problems. It is awarded to six of the teams judged "Outstanding" in the Mathematical Contest in Modeling (MCM) administered annually by the Consortium for Mathematics and Its Applications (COMAP). Registration is accepted via the COMAP website.

The SIAM Outstanding Paper Prize is not currently active. For the 20 years before it was discontinued in 2019, the SIAM Outstanding Paper Prizes brought attention to papers published in SIAM journals. Three awards were made each year to the authors of papers deemed by SIAM journal editors-in-chief worthy of particular attention.

The prize, established in 1985 and originally intended to be awarded periodically, is now awarded annually for contributions to the advancement of applied mathematics on the national or international level.

This activity group fosters activity in the analysis of partial differential equations and enhances communication between analysts, computational scientists and the broad partial differential equations community. Its goals are to provide a forum where theoretical and applied researchers in the area can meet, to be an intellectual home for researchers in the analysis of partial differential equations, to increase conference activity in partial differential equations, and to enhance connections between SIAM and the mathematics community.

This activity group promotes basic research in orthogonal polynomials and special functions; furthers the application of this subject in other parts of mathematics, and in science and industry; and encourages and supports the exchange of information, ideas, and techniques between workers in this field and other mathematicians and scientists.

SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods.

Multiscale Modeling & Simulation
SIAM J. on Applied Algebra and Geometry
SIAM J. on Applied Dynamical Systems
SIAM J. on Applied Mathematics
SIAM J. on Computing
SIAM J. on Control and Optimization
SIAM J. on Discrete Mathematics
SIAM J. on Financial Mathematics
SIAM J. on Imaging Sciences
SIAM J. on Mathematical Analysis
SIAM J. on Matrix Analysis and Applications
SIAM J. on Numerical Analysis
SIAM J. on Optimization
SIAM J. on Scientific Computing
SIAM/ASA J. on Uncertainty Quantification
SIAM Review
Theory of Probability & Its Applications

General Opportunities

We know it can be overwhelming to keep track of career opportunities that may be relevant to you as a member of the SIAM community. So, we’ve compiled lists of some of our favorite fellowship, internship, and research opportunities. Check ‘em out!

Fellowships

Looking for financial support to further your research? Fellowships often provide funding plus experiential learning opportunities to young researchers. Learn more about fellowship opportunities.

Internships allow you to network and forge connections for future job possibilities, while also exploring possible areas of interest. Look at this list of companies who offer valuable opportunities.

Our community is founded on igniting groundbreaking developments in applied math and computational science. Take a deeper dive into your area of study with one of these opportunities.