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.

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 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...

Mathematics and statistics play a vital part in everyday life. Mathematical and statistical techniques are used to help solve real-world problems, focusing on topics such as disease spread, ...

SIAM is excited to welcome you to the platform for our 2021 virtual conferences. Below is an overview of the features available; note that these will vary slightly depending on the specific ...

By Lars Ruthotto
Understanding the world through data and computation has always formed the core of scientific discovery. Amid many different approaches, two common paradigms have emerged. On ...

By David I. Ketcheson , Randall J. LeVeque , and Mauricio J. del Razo
Mathematics is often taught and illustrated through visual representations that depict both abstract and concrete ...

By Vrushali A. Bokil
The SIAM Conference on Computational Science and Engineering (CSE21) will take place virtually March 1 - 5, 2021 . For students, postdoctoral scholars, and other job ...

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.

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.

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 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.

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.

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.

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.

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.

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.

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.

The prize recognizes students for outstanding solutions to real world math problems. It is awarded to two 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.

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.

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.

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.