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.

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

Established in 2005, this paper prize 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 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.

By Scott A. McKinley and Hung D. Nguyen SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5119-5160, January 2018. The generalized Langevin equation (GLE) is a stochastic integro-differential equation that is commonly used to describe...

By Masahiro Suzuki and Atusi Tani SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5096-5118, January 2018. The purpose of this paper is to investigate mathematically the fundamental mechanism of gas discharge. Townsend...

By Daoyuan Fang, Ting Zhang, and Ruizhao Zi SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4983-5026, January 2018. In this paper, we consider the global well-posedness problem of the isentropic compressible Navier--Stokes equations ...

By Chao-Nien Chen, Yung-Sze Choi, Yeyao Hu, and Xiaofeng Ren SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5072-5095, January 2018. The FitzHugh--Nagumo system gives rise to a nonlocal geometric variational problem defined on subsets of a...

By D. Harutyunyan SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4964-4982, January 2018. We consider shells of nonconstant thickness in three dimensional Euclidean space around surfaces which have bounded...

By Denis Bonheure, Jean-Baptiste Casteras, Ederson Moreira dos Santos, and Robson Nascimento SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5027-5071, January 2018. We study the mixed dispersion fourth order nonlinear Schrödinger equation $i \partial_t \psi -\gamma \Delta^2 \psi...

By Benjamin Palacios, Gunther Uhlmann, and Yiran Wang SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4914-4936, January 2018. In an X-ray CT scan with metallic objects, it is known that direct application of the...

By Lin-an Li and Yi Wang SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4937-4963, January 2018. It is well known that the rarefaction wave, one of the basic wave patterns of the...

By Carlos J. GarcÍa-Cervera, Tiziana Giorgi, Sookyung Joo, and Xin Yang Lu SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4889-4913, January 2018. The bent-core $B_{1RevTilted}$ phase is a smectic tilted columnar phase in which the macroscopic polarization can...

By Nina Aguillon, Emmanuel Audusse, Edwige Godlewski, and Martin Parisot SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4861-4888, January 2018. Some shallow water type models describing the vertical profile of the horizontal velocity with several degrees...

By Yuan Chen, Soojung Kim, and Yong Yu SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4838-4860, January 2018. In this article we are concerned with the dynamical instability of liquid crystals induced by applied...

By Mayte Pérez-Llanos, Juan P. Pinasco, Nicolas Saintier, and Analía Silva SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4812-4837, January 2018. In this work an opinion formation model with heterogeneous agents is proposed. Each agent is...

By Tino Franz and Holger Wendland SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4752-4784, January 2018. Smoothed particle hydrodynamics (SPH) is a popular particle- and kernel-based method for numerically computing solutions to...

By Scott A. McKinley and Hung D. Nguyen SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5119-5160, January 2018. The generalized Langevin equation (GLE) is a stochastic integro-differential equation that is commonly used to describe...

By Masahiro Suzuki and Atusi Tani SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5096-5118, January 2018. The purpose of this paper is to investigate mathematically the fundamental mechanism of gas discharge. Townsend...

By Daoyuan Fang, Ting Zhang, and Ruizhao Zi SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4983-5026, January 2018. In this paper, we consider the global well-posedness problem of the isentropic compressible Navier--Stokes equations ...

By Chao-Nien Chen, Yung-Sze Choi, Yeyao Hu, and Xiaofeng Ren SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5072-5095, January 2018. The FitzHugh--Nagumo system gives rise to a nonlocal geometric variational problem defined on subsets of a...

By D. Harutyunyan SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4964-4982, January 2018. We consider shells of nonconstant thickness in three dimensional Euclidean space around surfaces which have bounded...

By Denis Bonheure, Jean-Baptiste Casteras, Ederson Moreira dos Santos, and Robson Nascimento SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5027-5071, January 2018. We study the mixed dispersion fourth order nonlinear Schrödinger equation $i \partial_t \psi -\gamma \Delta^2 \psi...

By Benjamin Palacios, Gunther Uhlmann, and Yiran Wang SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4914-4936, January 2018. In an X-ray CT scan with metallic objects, it is known that direct application of the...

By Lin-an Li and Yi Wang SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4937-4963, January 2018. It is well known that the rarefaction wave, one of the basic wave patterns of the...

By Carlos J. GarcÍa-Cervera, Tiziana Giorgi, Sookyung Joo, and Xin Yang Lu SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4889-4913, January 2018. The bent-core $B_{1RevTilted}$ phase is a smectic tilted columnar phase in which the macroscopic polarization can...

By Nina Aguillon, Emmanuel Audusse, Edwige Godlewski, and Martin Parisot SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4861-4888, January 2018. Some shallow water type models describing the vertical profile of the horizontal velocity with several degrees...

By Yuan Chen, Soojung Kim, and Yong Yu SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4838-4860, January 2018. In this article we are concerned with the dynamical instability of liquid crystals induced by applied...

By Mayte Pérez-Llanos, Juan P. Pinasco, Nicolas Saintier, and Analía Silva SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4812-4837, January 2018. In this work an opinion formation model with heterogeneous agents is proposed. Each agent is...

By Tino Franz and Holger Wendland SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4752-4784, January 2018. Smoothed particle hydrodynamics (SPH) is a popular particle- and kernel-based method for numerically computing solutions to...

By Theodore D. Drivas and Huy Q. Nguyen SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4785-4811, January 2018. We give a localized regularity condition for energy conservation of weak solutions of the Euler equations...

By Xiufang Cui and Silu Yin SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4721-4751, January 2018. This paper concerns the Cauchy problem of the incompressible isotropic elastodynamics in three dimensions. The homogeneous...

By Julien Guillod, Guido Schneider, Peter Wittwer, and Dominik Zimmermann SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 4699-4720, January 2018. The real Ginzburg--Landau equation possesses a family of spatially periodic equilibria. If the wave number of...

By Tong Yang and Hongjun Yu SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4503-4562, January 2018. This paper is concerned with the Cauchy problem on the one-dimensional inhomogeneous non-cutoff Kac equation. Based...

By Thomas C. Hangelbroek SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4616-4654, January 2018. For compact domains with smooth boundaries, we present a surface spline approximation scheme that delivers rates...

By Vincent Giovangigli, Zai-Bao Yang, and Wen-An Yong SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4655-4697, January 2018. We consider a class of hyperbolic-parabolic systems with small diffusion terms and stiff sources. The existence...

By Aric Wheeler and Mark Williams SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4563-4615, January 2018. A Rayleigh wave is a type of surface wave that propagates in the boundary of an...

By Thomas Beck SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4483-4502, January 2018. We study the behavior of the first eigenfunction of the Dirichlet Laplacian on a planar convex...

By Matias G. Delgadino SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4457-4482, January 2018. We consider a one-dimensional periodic forward-backward parabolic equation, regularized by a degenerate nonlinear fourth-order term of...

By Ernst Kuwert and Yuxiang Li SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4407-4425, January 2018. We consider surfaces in ${\mathbb R}^3$ of type ${\mathbb S}^2$ which minimize the Willmore functional with...

By Manuel Friedrich and Martin Kružík SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4426-4456, January 2018. We formulate a quasistatic nonlinear model for nonsimple viscoelastic materials at a finite-strain setting in the...

By Inwon Kim and Yuming Paul Zhang SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4371-4406, January 2018. This paper considers a class of nonlinear degenerate drift-diffusion equations. We study well-posedness and regularity properties...

By Álvaro Cartea, Sebastian Jaimungal, and Jason Ricci SIAM Review, Volume 60, Issue 3, Page 673-703, January 2018. We develop a high frequency (HF) trading strategy where the HF trader uses her superior speed to process information...

By Florian Feppon and Pierre F. J. Lermusiaux SIAM Review, Volume 60, Issue 3, Page 595-625, January 2018. Quantifying the uncertainty of Lagrangian motion can be performed by solving a large number of ordinary differential equations with...

By Theodore Kolokolnikov and Juncheng Wei SIAM Review, Volume 60, Issue 3, Page 626-645, January 2018. We develop novel mathematical techniques to study spot patterns in reaction-diffusion systems with space-dependent feed rate. The techniques are...

By Ulrich Rüde, Karen Willcox, Lois Curfman McInnes, and Hans De Sterck SIAM Review, Volume 60, Issue 3, Page 707-754, January 2018. This report presents challenges, opportunities, and directions for computational science and engineering (CSE) research and education for the next...

By Claude Brezinski, Michela Redivo-Zaglia, and Yousef Saad SIAM Review, Volume 60, Issue 3, Page 646-669, January 2018. This paper presents a general framework for Shanks transformations of sequences of elements in a ...

By Andrew J. Majda and Di Qi SIAM Review, Volume 60, Issue 3, Page 491-549, January 2018. Turbulent dynamical systems characterized by both a high-dimensional phase space and a large number of instabilities are ubiquitous among...

By Benjamin Peherstorfer, Karen Willcox, and Max Gunzburger SIAM Review, Volume 60, Issue 3, Page 550-591, January 2018. In many situations across computational science and engineering, multiple computational models are available that describe a system of interest....

By Volker Schulz SIAM Review, Volume 60, Issue 3, Page 757-776, January 2018. From SPD matrices to SQD matrices seems to be just a minor step in letters. However, in the field...

By The Editors SIAM Review, Volume 60, Issue 3, Page 671-671, January 2018. The SIGEST article in this issue is “Algorithmic Trading, Stochastic Control, and Mutually Exciting Processes,” by Álvaro Cartea,...

By J. M. Sanz-Serna SIAM Review, Volume 60, Issue 3, Page 489-489, January 2018. The two Survey and Review papers in this issue share some common traits. Both of them will help nonspecialists...

By Misha E. Kilmer SIAM Review, Volume 60, Issue 3, Page 593-593, January 2018. The first paper, “Dynamically Orthogonal Numerical Schemes for Efficient Stochastic Advection and Lagrangian Transport,” by Florian Feppon and Pierre...

By Darinka Dentcheva SIAM Review, Volume 60, Issue 3, Page 705-706, January 2018. This issue of SIAM Review presents “Research and Education in Computational Science and Engineering” in the Education section. This...

By Antoine Laurain SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4327-4370, January 2018. In the standard level set method, the evolution of the level set function is determined by...

By Jonathan Ben-Artzi, Simone Calogero, and Stephen Pankavich SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4311-4326, January 2018. We study smooth, global-in-time solutions of the Vlasov--Poisson system in the plasma physical case that possess...

By Anupam Pal Choudhury, Amru Hussein, and Patrick Tolksdorf SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4282-4310, January 2018. We consider the simplified Ericksen--Leslie model in three-dimensional bounded Lipschitz domains. Applying a semilinear approach, we...

By Zili Chen and Xiuting Li SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4180-4202, January 2018. We consider asymptotic behaviors of classical solutions and weak solutions to the three-dimensional Vlasov--Poisson system in...

By Xiangsheng Xu SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4261-4281, January 2018. The manufacturing of crystal films lies at the heart of modern nanotechnology. How to accurately predict...

By Ning Jiang, Yanan Liu, and Teng-Fei Zhang SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4149-4179, January 2018. In this paper we first employ the energetic variational method to derive a micro-macro model for...

By Anne-Laure Dalibard, Helge Dietert, David Gérard-Varet, and Frédéric Marbach SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4203-4245, January 2018. The present paper is about a famous extension of the Prandtl equation, the so-called Interactive Boundary...

By Viorel Barbu and Michael Röckner SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4246-4260, January 2018. One obtains a probabilistic representation for the entropic generalized solutions to a nonlinear Fokker--Planck equation in...

By Giovanni Bellettini and Shokhrukh Yu. Kholmatov SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4117-4148, January 2018. We prove the existence of a weak global in time mean curvature flow of a bounded...

By Gero Friesecke and Daniela Vögler SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3996-4019, January 2018. We present a new ansatz space for the general symmetric multi-marginal Kantorovich optimal transport problem on...

By Nicolás García Trillos and Daniel Sanz-Alonso SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4020-4040, January 2018. We consider the problem of recovering a function input of a differential equation formulated on an...

By Mircea Sofonea SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4066-4086, January 2018. The present paper deals with new results in the study of a class of elliptic hemivariational...

By Tobias Black SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4087-4116, January 2018. We consider the chemotaxis-fluid system given by $n_{t}+u\cdot\!\nabla n=\Delta n^m-\nabla\!\cdot(n\nabla c)$, $c_{t}+u\cdot\!\nabla c=\Delta c-c+n$, $u_{t}+(u\cdot\nabla)u=\Delta u+\nabla...

By Rinaldo M. Colombo and Elena Rossi SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 4041-4065, January 2018. The well posedness for a class of nonlocal systems of conservation laws in a bounded domain...

By Lei Li and Jian-Guo Liu SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3963-3995, January 2018. The Aubin--Lions lemma and its variants play crucial roles for the existence of weak solutions of...

By Manuel Friedrich SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3842-3918, January 2018. We present a piecewise Korn inequality for generalized special functions of bounded deformation ($GSBD^2$) in a...

By Angkana Rüland, Christian Zillinger, and Barbara Zwicknagl SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3791-3841, January 2018. In this article we continue our study of higher Sobolev regularity of flexible convex integration solutions...

By Nicola Soave and Tobias Weth SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3919-3938, January 2018. We derive the unique continuation property of a class of semilinear elliptic equations with non-Lipschitz nonlinearities....

By J. A. Barceló, M. Folch-Gabayet, S. Pérez-Esteva, A. Ruiz, and M. C. Vilela SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3939-3962, January 2018. We study the inverse boundary value problem and the inverse scattering problem for a homogeneous and...

By Vianney Combet and Yvan Martel SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3715-3790, January 2018. We prove the existence of solutions of the mass critical generalized Korteweg--de Vries equation $\partial_t u...

By Maria Pia Gualdani and Nicola Zamponi SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3676-3714, January 2018. In this paper we consider an isotropic modification for the Landau equation with Coulomb potential in...

By Gui-Qiang G. Chen, Apala Majumdar, Dehua Wang, and Rongfang Zhang SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3632-3675, January 2018. We study the hydrodynamics of compressible flows of active liquid crystals in the Beris--Edwards hydrodynamics framework,...

By Ryo Ito SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3478-3534, January 2018. In this paper, we consider the equation $u_t = u_{xx} + h(b(x)) (1-u)u,\ x \in \mathbb{R}$,...

By Anderson L. A. de Araujo and Paulo M. D. de Magalha͂es SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3598-3631, January 2018. In this paper we study the distributed problem for the two-dimensional mathematical model of the invasion...

By Geng Lai SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3535-3597, January 2018. This paper studies two types of wave interactions arising from two-dimensional (2D) Riemann problems for the...

By Simone Di Marino and Jean Louet SIAM Journal on Mathematical Analysis, Volume 50, Issue 4, Page 3451-3477, January 2018. We study the entropic regularization of the optimal transport problem in dimension 1 when the cost...

By François Générau and Edouard Oudet SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3427-3450, January 2018. We consider the volume-constrained minimization of the sum of the perimeter and the Riesz potential. We...

By Noa Kraitzman and Keith Promislow SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3395-3426, January 2018. The functionalized Cahn--Hilliard free energy supports phase-separated morphologies of distinct codimension, including codimension-one bilayer and codimension-two...

By Graeme W. Milton SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3327-3364, January 2018. A conducting two-dimensional periodic composite of two anisotropic phases with anisotropic, not necessarily symmetric, conductivity tensors...

By William M. Feldman SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3303-3326, January 2018. We study the quantitative stability of Serrin's symmetry problem and its connection with a dynamic model...

By Emeric Bouin, Jimmy Garnier, Christopher Henderson, and Florian Patout SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3365-3394, January 2018. We study the asymptotic behavior of solutions to a monostable integro-differential Fisher-KPP equation, that is, where...

By László Erdös, Torben Krüger, and David Renfrew SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3271-3290, January 2018. We consider large random matrices $X$ with centered, independent entries but possibly different variances. We compute...

By Cătălin I. Cârstea, Naofumi Honda, and Gen Nakamura SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3291-3302, January 2018. Consider a three dimensional piecewise homogeneous anisotropic elastic medium $\Omega$ which is a bounded domain consisting...

By Hoang-Hung Vo and Seonghak Kim SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3122-3146, January 2018. In the absence of the entropy condition, we construct an $L^\infty$ solution to the Cauchy problem...

By Satoshi Masaki and Hayato Miyazaki SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3251-3270, January 2018. In this paper, we consider the final state problem for the nonlinear Schrödinger equation with a...

By TongKeun Chang, Hi Jun Choe, and Kyungkeun Kang SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3147-3171, January 2018. We consider discontinuous influx for the Navier--Stokes flow and construct a solution that is...

By Martin Burger, Marco Di Francesco, Simone Fagioli, and Angela Stevens SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3210-3250, January 2018. Macroscopic models for systems involving diffusion, short-range repulsion, and long-range attraction have been studied extensively in...

By Felipe Linares, Didier Pilod, and Jean-Claude Saut SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3172-3209, January 2018. The aim of this paper is to prove various ill-posedness and well-posedness results on the Cauchy...

By Seung-Yeal Ha, Jeongho Kim, and Tommaso Ruggeri SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3092-3121, January 2018. We study the flocking dynamics of a generalized Cucker--Smale (C-S) model for thermodynamic particles. The original...

By Qianqian Hou, Cheng-Jie Liu, Ya-Guang Wang, and Zhian Wang SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3058-3091, January 2018. This paper is concerned with the stability of boundary layer solutions for a viscous hyperbolic system...

By A. Alexandrou Himonas, Curtis Holliman, and Carlos Kenig SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2968-3006, January 2018. For the Novikov equation, on both the line and the circle, we construct a 2-peakon...

By Verena Bögelein, Frank Duzaar, Christoph Scheven, and Thomas Singer SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 3007-3057, January 2018. We study gradient flows of integral functionals in noncylindrical bounded domains $E\subset\mathbb{R}^n\times[0,T)$. The systems of differential...

By Matteo Dalla Riva and Luigi Provenzano SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2928-2967, January 2018. In a smooth bounded domain $\Omega$ of $\mathbb R^2$ we consider the spectral problem $-\Delta u_{\varepsilon}=...

By Benedetto Piccoli and Magali Tournus SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2901-2927, January 2018. We consider a scalar conservation law with a flux containing spatial heterogeneities of bounded variation,...

By Yu Gao, Lei Li, and Jian-Guo Liu SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2807-2838, January 2018. In this paper, we present a dispersive regularization approach to construct a global $N$-peakon weak solution...

By Lei Li and Jian-Guo Liu SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2867-2900, January 2018. We propose a generalized definition of Caputo derivatives from $t=0$ of order $\gamma\in(0,1)$ using a...

By Satoshi Masaki and Jun-Ichi Segata SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2839-2866, January 2018. In this paper, we give an improvement of nondiagonal Strichartz estimates for the Airy equation by...

By Yu Ran, Shu-Ming Sun, and Bing-Yu Zhang SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2773-2806, January 2018. This paper studies the initial-boundary-value problems (IBVPs) of nonlinear Schrödinger equations posed in...

By Xuemei Deng, Tian-Yi Wang, and Wei Xiang SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2740-2772, January 2018. We are concerned with the unique existence of three-dimensional steady compressible full Euler flows through arbitrary...

By Carmen Cortázar, Fernando Quirós, and Noemí Wolanski SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2664-2680, January 2018. We consider the porous medium equation in an exterior two-dimensional domain that excludes a hole, with...

By Rowan Killip, Jason Murphy, and Monica Visan SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2681-2739, January 2018. We consider the initial-value problem for the cubic-quintic nonlinear Schrödinger equation $ (i\partial_t+\Delta)\psi=\alpha_1 \psi-\alpha_{3}\vert \psi\vert^2 \psi+\alpha_5\vert...

By Augusto Visintin SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2628-2663, January 2018. Fitzpatrick's variational representation of maximal monotone operators is here extended to a class of pseudo-monotone operators...

By Jonathan J. Bevan and Jonathan H. B. Deane SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2566-2587, January 2018. In this paper we give an explicit sufficient condition for the affine map $u_\lambda(x):=\lambda x$ to...

By Giuseppe Buttazzo and Bozhidar Velichkov SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2608-2627, January 2018. In this paper we consider a shape optimization problem in which the data in the cost...

By Wei Liu, Michael Röckner, and José Luís da Silva SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2588-2607, January 2018. In this paper we develop a method to solve (stochastic) evolution equations on Gelfand triples with...

By Andreas Kirsch and Armin Lechleiter SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2536-2565, January 2018. Scattering of time-harmonic waves from periodic structures at some fixed real-valued wave number becomes analytically difficult...

By Simone Cacace, Fabio Camilli, and Lucilla Corrias SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2509-2535, January 2018. We consider a system of differential equations of Monge--Kantorovich type which describes the equilibrium configurations...

By D. Calvetti, F. Pitolli, E. Somersalo, and B. Vantaggi SIAM Review, Volume 60, Issue 2, Page 429-461, January 2018. The solution of linear inverse problems when the unknown parameters outnumber data requires addressing the problem of a nontrivial...

By Bailey K. Fosdick, Daniel B. Larremore, Joel Nishimura, and Johan Ugander SIAM Review, Volume 60, Issue 2, Page 315-355, January 2018. Random graph null models have found widespread application in diverse research communities analyzing network datasets, including social, information, and...

By Umberto Mosco SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2409-2440, January 2018. We introduce a new discrete model for the self-organized-criticality behavior. The process is set as an...

By Sören Schwenker SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2466-2485, January 2018. We prove that steady state bifurcations in finite-dimensional dynamical systems that are symmetric with respect to...

By Zhihan Gao SIAM Review, Volume 60, Issue 2, Page 409-426, January 2018. We study the metric $s$--$t$ path traveling salesman problem (TSP). An, Kleinberg, and Shmoys [Proceedings of the 44th ACM...

By Léon Bottou, Frank E. Curtis, and Jorge Nocedal SIAM Review, Volume 60, Issue 2, Page 223-311, January 2018. This paper provides a review and commentary on the past, present, and future of numerical optimization algorithms in the...

By Sanghyeon Yu and Habib Ammari SIAM Review, Volume 60, Issue 2, Page 356-385, January 2018. When metallic (or plasmonic) nanospheres are nearly touching, strong concentration of light can occur in the narrow gap regions....

By Bin Cheng, Peng Qu, and Chunjing Xie SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2486-2508, January 2018. We study classical solutions of the one-dimensional rotating shallow water system, which plays an important role...

By Nawaf Bou-Rabee SIAM Review, Volume 60, Issue 2, Page 386-406, January 2018. The numerical solution of stochastic partial differential equations (SPDEs) presents challenges not encountered in the simulation of PDEs or...

By Dmitry Kaliuzhnyi-Verbovetskyi and Georgi S. Medvedev SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2441-2465, January 2018. The Kuramoto model (KM) of coupled phase oscillators on graphs provides the most influential framework for...

SIAM Review, Volume 60, Issue 2, Page 407-407, January 2018. The SIGEST article in this issue, On the Metric $s$-$t$ Path Traveling Salesman Problem, by Zhihan Gao, first appeared...

By J. M. Sanz-Serna SIAM Review, Volume 60, Issue 2, Page 221-221, January 2018. Recent spectacular success stories in machine learning are underpinned by applied mathematics techniques, and therefore many SIAM Review readers...

By Darinka Dentcheva SIAM Review, Volume 60, Issue 2, Page 427-428, January 2018. The Education section of this issue presents the article “Bayes Meets Krylov: Statistically Inspired Preconditioners for CGLS,” by D....

By Volker Schulz SIAM Review, Volume 60, Issue 2, Page 465-487, January 2018. The book reviews collected in this issue were still assembled by my predecessor, David Watkins, to whom I'm indebted...

By Misha E. Kilmer SIAM Review, Volume 60, Issue 2, Page 313-313, January 2018. This issue of SIAM Review features three articles in the Research Spotlights section. All three articles use novel...

By Nikola Naidenov, Geno Nikolov, and Alexei Shadrin SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2389-2408, January 2018. We study the quantity $\tau_{n,k}:={\tfrac{|T_n^{(k)}(\omega_{n,k})|}{T_n^{(k)}(1)}},$ where $T_n$ is the Chebyshev polynomial of degree $n$ and $\omega_{n,k}$...

By Susana Frómeta and Milton Jara SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2317-2361, January 2018. We study the scaling limit of a divisible sandpile model associated with a truncated $\alpha$-stable random...

By Michiel Bertsch, Bruno Franchi, Maria Carla Tesi, and Andrea Tosin SIAM Journal on Mathematical Analysis, Volume 50, Issue 3, Page 2362-2388, January 2018. We consider the existence and uniqueness of solutions of an initial boundary value problem for a...

By Eleanor Holland and R. E. Showalter SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 2295-2316, January 2018. The porosity of a visco-elastic medium is shown to satisfy a nonlinear pseudoparabolic partial differential equation...

By Dan Dai, Shuai-Xia Xu, and Lun Zhang SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 2233-2279, January 2018. We study the Fredholm determinant of an integrable operator acting on the interval $(0,s)$ whose kernel...

By Neal Bez, Jayson Cunanan, and Sanghyuk Lee SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 2280-2294, January 2018. We prove smoothing estimates for velocity averages of the kinetic transport equation in hyperbolic Sobolev spaces...

By Hyung Ju Hwang, Juhi Jang, and Jaewoo Jung SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 2194-2232, January 2018. In this paper, we study the initial-boundary value problem of the Fokker--Planck equation with absorbing boundary...

By T. Bennett, C. J. Howls, G. Nemes, and A. B. Olde Daalhuis SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 2144-2177, January 2018. We derive the first exact, rigorous but practical, globally valid remainder terms for asymptotic expansions about...

By Elena Cordero, Maurice de Gosson, Monika Dörfler, and Fabio Nicola SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 2178-2193, January 2018. We study the covariance property of quadratic time-frequency distributions with respect to the action of the...

By Jason S. Howell, Daniel Toundykov, and Justin T. Webster SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 2048-2085, January 2018. We consider a cantilevered (clamped-free) beam in an axial potential flow. Certain flow velocities may bring...

By John A. D. Appleby and Denis D. Patterson SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 2086-2110, January 2018. This paper considers the growth rates of positive solutions of scalar nonlinear functional and Volterra differential...

By Carlo Marinelli SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 2111-2143, January 2018. We establish well-posedness in the mild sense for a class of stochastic semilinear evolution equations on...

By Toan T. Nguyen and Minh-Binh Tran SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 2020-2047, January 2018. The wave turbulence equation is an effective kinetic equation that describes the dynamics of wave spectra...

By Björn de Rijk SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1958-2019, January 2018. In the stability analysis of pulse patterns in singularly perturbed reaction-diffusion systems, the scale separation is...

By Jamie M. Taylor SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1918-1957, January 2018. This paper is concerned with the rigorous analysis of a recently proposed model of Nascimento et...

By Carlota M. Cuesta, Hans Knüpfer, and Juan J. L. Velázquez SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1900-1917, January 2018. We study self-similar solutions of the thin-film equation $ h_{t} + (h^{m}...

By Young-Heon Kim and Brendan Pass SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1817-1828, January 2018. We introduce a weak notion of barycenter of a probability measure $\mu$ on a metric measure...

By Hai-liang Li, Teng Wang, and Yi Wang SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1829-1876, January 2018. We investigate the nonlinear stability of the superposition of a viscous contact wave and two rarefaction...

By Roberta Bianchini SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1877-1899, January 2018. We obtain sharp decay estimates in time in the context of Sobolev spaces for smooth solutions...

By Benjamin Schachter SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1779-1789, January 2018. New displacement convex functionals on $S^1$ are presented, and a novel Eulerian extension of the Otto...

By Shi Jin and Yuhua Zhu SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1790-1816, January 2018. We study the Vlasov--Poisson--Fokker--Planck system with uncertainty and multiple scales. Here the uncertainty, modeled by random...

By Nestor Guillen and Russell W. Schwab SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1679-1719, January 2018. We continue the program initiated in a previous work, applying integro-differential methods to Neumann homogenization problems....

By Albert Cohen, Christoph Schwab, and Jakob Zech SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1720-1752, January 2018. We consider the stationary Stokes and Navier--Stokes equations for viscous, incompressible flow in parameter dependent bounded...

By Hanming Zhou SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1753-1778, January 2018. In this paper we study the local magnetic ray transform of symmetric tensor fields up to...

By Patrick Guidotti and Christoph Walker SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1656-1678, January 2018. In this paper the model for a highly viscous droplet sliding down an inclined plane is...

By Amal Alphonse, Charles M. Elliott, and Joana Terra SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1544-1592, January 2018. We prove existence, uniqueness, and regularity for a reaction-diffusion system of coupled bulk-surface equations on a...

By Kailong Yang and Lifeng Zhao SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1593-1655, January 2018. In this article, we consider the infinite dimensional vector-valued resonant nonlinear Schrödinger system, which arises from...

By Andrea Braides and Leonard Kreutz SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1485-1520, January 2018. We prove a compactness and integral-representation theorem for families of lattice energies describing atomistic interactions defined...

By Jinlong Wei, Jinqiao Duan, and Guangying Lv SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1521-1543, January 2018. This work is devoted to examining the uniqueness and existence of kinetic solutions for a class...

By Alexis Drouot SIAM Journal on Mathematical Analysis, Volume 50, Issue 2, Page 1471-1484, January 2018. We study the eigenvalues of Schrödinger operators $-\Delta_{{R}^2} + V_\epsilon$ on ${R}^2$ with rapidly oscillatory potential:...

By Ansgar Jüngel, Jiří Mikyška, and Nicola Zamponi SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1367-1395, January 2018. The transport of single-phase fluid mixtures in porous media is described by cross-diffusion equations for the...

By Zhong Tan and Yanjin Wang SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1432-1470, January 2018. This paper concerns the viscous and non-resistive MHD systems which govern the motion of electrically conducting...

By Dong-Ho Tsai and Xiao-Liu Wang SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1396-1431, January 2018. We consider long time behavior of a given smooth convex embedded closed curve $\gamma_{0}\subset\mathbb{R}^{2}$ evolving according...

By Hao Tang SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1322-1366, January 2018. In this paper we consider the Camassa--Holm (CH) equation with multiplicative noise, which can be obtained...

By Barbora Benešová, Johannes Forster, Chun Liu, and Anja Schlömerkemper SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1200-1236, January 2018. We prove existence of weak solutions to an evolutionary model derived for magnetoelastic materials. The model...

By John Holmes, Barbara Keyfitz, and Feride Tiğlay SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1237-1254, January 2018. The Cauchy problem for the two-dimensional compressible Euler equations with data in the Sobolev space $H^s(\mathbb...

By Alpár Richárd Mészáros and Francisco J. Silva SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1255-1277, January 2018. We consider the variational approach to prove the existence of solutions of second-order stationary Mean Field...

By Ricardo Alonso, Véronique Bagland, Yingda Cheng, and Bertrand Lods SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1278-1321, January 2018. This manuscript investigates the following aspects of the one-dimensional dissipative Boltzmann equation associated to a variable...

By Sergei Trofimchuk and Vitaly Volpert SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1175-1199, January 2018. The paper is devoted to a reaction-diffusion equation with delay arising in modeling the immune response....

By Margarida Baía, Stefan Krömer, and Martin Kružík SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1076-1119, January 2018. In this work we completely characterize generalized Young measures generated by sequences of gradients of maps...

By Tao Tao and Liqun Zhang SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1120-1162, January 2018. The Boussinesq equation was introduced in understanding the coupling nature of thermodynamics and fluid dynamics. We...

By Guido Sweers and Katerina Vassi SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1163-1174, January 2018. The boundary value problem for the Kirchhoff--Love model of a hinged elastic plate with stress is...

By Misha E. Kilmer SIAM Review, Volume 60, Issue 1, Page 93-93, January 2018. The first of the two papers appearing in this issue's Research Spotlights section is “A Gillespie Algorithm for Non-Markovian...

By Darinka Dentcheva SIAM Review, Volume 60, Issue 1, Page 179-180, January 2018. The Education section of this issue focuses on fair games. The article, “Making the Rules of Sports Fairer,” by...

SIAM Review, Volume 60, Issue 1, Page 137-137, January 2018. The SIGEST article in this issue, “Second-Order Necessary Conditions for Stochastic Optimal Control Problems,” by Haisen Zhang and Xu...

By J. M. Sanz-Serna SIAM Review, Volume 60, Issue 1, Page 1-1, January 2018. The first Survey and Review paper in this issue, “Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Methods,”...

By Volker H. Schulz SIAM Review, Volume 60, Issue 1, Page 205-220, January 2018. For decades, the Book Reviews section of SIAM Review has been publishing personal assessments and recommendations on books which...

By Naoki Masuda and Luis E. C. Rocha SIAM Review, Volume 60, Issue 1, Page 95-115, January 2018. The Gillespie algorithm provides statistically exact methods for simulating stochastic dynamics modeled as interacting sequences of discrete events including...

By Richard A. Tapia, J. E. Dennis, and Jan P. Schäfermeyer SIAM Review, Volume 60, Issue 1, Page 3-55, January 2018. The $l_2$ normalized inverse, shifted inverse, and Rayleigh quotient iterations are classic algorithms for approximating an eigenvector of...

By Steven J. Brams and Mehmet S. Ismail SIAM Review, Volume 60, Issue 1, Page 181-202, January 2018. The rules of many sports are not fair---they do not ensure that equally skilled competitors have the same probability...

By Andreas Bartel and Michael Günther SIAM Review, Volume 60, Issue 1, Page 56-91, January 2018. Modeling with partial differential-algebraic equations is a natural and universal approach valid for various applications with coupled subsystems. This...

By Haisen Zhang and Xu Zhang SIAM Review, Volume 60, Issue 1, Page 139-178, January 2018. The main purpose of this paper is to present some of our recent results about the second-order necessary conditions...

By Mike R. Jeffrey SIAM Review, Volume 60, Issue 1, Page 116-136, January 2018. Transitions between steady dynamical regimes in diverse applications are often modeled using discontinuities, but doing so introduces problems of...

By Natsumi Yoshida SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 891-932, January 2018. In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem for the...

By Trevor M. Leslie and Roman Shvydkoy SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 870-890, January 2018. When a Leray--Hopf weak solution to the NSE has a singularity set $S$ of dimension $d$...

By Jan Haskovec, Sabine Hittmeir, Peter Markowich, and Alexander Mielke SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1037-1075, January 2018. We derive thermodynamically consistent models of reaction-diffusion equations coupled to a heat equation. While the total...

By Jun Li, Ingo Witt, and Huicheng Yin SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 933-1009, January 2018. Although local existence of multidimensional planar shock waves has been established in the well-known papers...

By Hélène Barucq, Rabia Djellouli, Elodie Estecahandy, and Mohand Moussaoui SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1010-1036, January 2018. The characterization of the Fréchet derivative of the elasto-acoustic scattered field with respect to Lipschitz continuous...

By Maja Tasković, Ricardo J. Alonso, Irene M. Gamba, and Nataša Pavlović SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 834-869, January 2018. We establish the $L^1$ weighted propagation properties for solutions of the Boltzmann equation with hard potentials...

By S. Adly and T. Haddad SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 761-778, January 2018. In this paper, we study a new variant of Moreau's sweeping process with velocity constraint. Based...

By Paolo Buttà and Carlo Marchioro SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 735-760, January 2018. We study the time evolution of an incompressible Euler fluid with planar symmetry when the vorticity...

By José C. Bellido and Carlos Mora-Corral SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 779-809, January 2018. We study nonlocal variational problems in $L^p$, like those that appear in peridynamics. The functional object...

By Denis S. Grebenkov and Bernard Helffer SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 622-676, January 2018. We investigate a two-dimensional Schrödinger operator, $-h^2 \Delta +iV(x)$, with a purely complex potential $iV(x)$. ...

By Andres Contreras, Dmitry E. Pelinovsky, and Michael Plum SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 810-833, January 2018. Domain walls are minimizers of energy for coupled one-dimensional Gross--Pitaevskii systems with nontrivial boundary conditions at...

By G. Ambartsoumian, R. Felea, V. P. Krishnan, C. J. Nolan, and E. T. Quinto SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 591-621, January 2018. In this article, we consider two bistatic cases arising in synthetic aperture radar imaging: when the...

By Jingyu Li, Ming Mei, Guojing Zhang, and Kaijun Zhang SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 718-734, January 2018. This is the second part of our series of studies concerning the well-posedness/ill-posedness and regularity of...

By Simon N. Chandler-Wilde and David P. Hewett SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 677-717, January 2018. We consider time-harmonic acoustic scattering by planar sound-soft (Dirichlet) and sound-hard (Neumann) screens embedded in ${R}^n$...

By Paolo Baroni, Tuomo Kuusi, Casimir Lindfors, and José Miguel Urbano SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 456-490, January 2018. We study the Cauchy--Dirichlet problem associated to a phase transition modeled upon the degenerate two-phase Stefan...

By Julian Fischer and Günther Grün SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 411-455, January 2018. We construct martingale solutions to stochastic thin-film equations by introducing a (spatial) semidiscretization and establishing...

By Cristi Guevara and Nguyen Cong Phuc SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 541-556, January 2018. We rule out the existence of Leray's backward self-similar solutions to the Navier--Stokes equations with profiles...

By Fei Jiang and Song Jiang SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 491-540, January 2018. We investigate the stabilizing effect of the vertical equilibrium magnetic field in the Rayleigh--Taylor (RT) problem...

By Yong Lu and Zhifei Zhang SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 557-590, January 2018. We consider the compressible Oldroyd--B model derived in [J. W. Barrett, Y. Lu, and E. Süli,...

By Eric Cancès and L. Ridgway Scott SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 381-410, January 2018. We examine a technique of Slater and Kirkwood [Phys. Rev., 37 (1931), 682] which provides an...

By Vera Mikyoung Hur and Lizheng Tao SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 354-380, January 2018. We show wave breaking---bounded solutions with unbounded derivatives---in the nonlinear nonlocal equations which combine...

By Yasunori Maekawa and Hideyuki Miura SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 339-353, January 2018. We consider the space of solenoidal vector fields in an unbounded domain $\Omega\subset \mathbb{R}^n$ whose boundary...

By Timothy E. Faver and J. Douglas Wright SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 182-250, January 2018. We study the existence of solitary waves in a diatomic Fermi--Pasta--Ulam--Tsingou (FPUT) lattice. For monatomic FPUT...

By Yang Jiaqi and Yin Huicheng SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 283-338, January 2018. In this paper, we study the steady non-Newtonian fluids in a class of unbounded domains with...

By Francesco Maddalena, Danilo Percivale, and Franco Tomarelli SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 251-282, January 2018. Some variational problems for a Föppl--von Kármán plate subject to general equilibrated loads are studied. The...

By Steinar Evje and Huanyao Wen SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 86-118, January 2018. The purpose of this note is to analyze a two-fluid model which can be understood...

By Anna Dall'Acqua and Klaus Deckelnick SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 119-137, January 2018. We consider an obstacle problem for elastic curves given by graphs with fixed ends. We give...

By Antonio De Rosa SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 162-181, January 2018. We consider the minimization problem of an anisotropic energy in classes of $d$-rectifiable varifolds in $\mathbb{R}^n$,...

By I-Kun Chen SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 138-161, January 2018. We consider the regularity of stationary solutions to the linearized Boltzmann equations in...

By Arnaud Triay SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 33-63, January 2018. We consider $N$ trapped bosons in $\mathbb{R}^3$ interacting via a pair potential $w$ which has a...

By A. Komech and E. Kopylova SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 64-85, January 2018. We consider the Schrödinger--Poisson--Newton equations for finite crystals under periodic boundary conditions with one ion...

By Jieren Xu, Haizhao Yang, and Ingrid Daubechies SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 5-32, January 2018. This paper proposes a recursive diffeomorphism-based regression method for the one-dimensional generalized mode decomposition problem that...

By Gerhard Rein SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Page 1-4, January 2018. The $n$-body problem with a purely repulsive Coulomb interaction is considered. It is shown that for...

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.

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Established in 2005, this paper prize 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 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.

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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.

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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.

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.

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 SIAM Outstanding Paper Prizes bring attention to papers published in SIAM journals. Three awards are 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.

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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.

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.

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