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.

Upcoming Conferences

SIAM Conference on Computational Science and Engineering (CSE19)

February 25 - March 1, 2019 Spokane, Washington, USA More Information

SIAM International Conference on Data Mining (SDM19)

May 2 - 4, 2019 Calgary, Alberta, Canada More Information

SIAM Conference on Applications of Dynamical Systems (DS19)

May 19 - 23, 2019 Snowbird, Utah, U.S. More Information

SIAM Workshop on Network Science (NS19)

May 22 - 23, 2019 Snowbird, Utah, U.S. More Information

SIAM Conference on Financial Mathematics & Engineering (FM19)

June 4 - 7, 2019 Toronto, Ontario, Canada More Information

Collaborative Workshop for Women in Mathematical Biology (WIMB 2019)

June 17 - 21, 2019 Los Angeles, California, U.S. More Information

Gene Golub SIAM Summer School 2019: High Performance Data Analytics

June 17 - 28, 2019 Aussois, France More Information

SIAM Conference on Control and Its Applications (CT19)

June 19 - 21, 2019 Chengdu, China More Information

SIAM Conference on Applied Algebraic Geometry (AG19)

July 9 - 13, 2019 Bern, Switzerland More Information

9th International Congress on Industrial and Applied Mathematics (ICIAM 2019)

July 15 - 19, 2019 Valencia, Spain More Information

SIAM Conference on Analysis of Partial Differential Equations (PD19)

December 11 - 14, 2019 La Quinta, California, U.S. More Information

ACM-SIAM Symposium on Discrete Algorithms (SODA20)

January 5 - 8, 2020 Salt Lake City, Utah, U.S. More Information

Algorithm Engineering and Experiments (ALENEX20)

January 5 - 6, 2020 Salt Lake City, Utah, U.S. More Information

SIAM Conference on Optimization (OP20)

May 26 - 29, 2020 The Hong Kong Polytechnic University More Information

SIAM Conference on Imaging Science (IS20)

July 6 - 9, 2020 Toronto, Ontario, Canada More Information

SIAM Conference on Applications of Dynamical Systems (DS21)

May 23 - 27, 2021 Portland, Oregon, U.S. More Information

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.

By Nacira Agram, Achref Bachouch, Bernt Øksendal, and Frank Proske SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 450-468, January 2019. The purpose of this paper is to study the following topics and the relation between them:...

By Balázs Boros SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 435-449, January 2019. We prove the following. For each weakly reversible mass-action system, there exists a positive steady state...

By Michiel Bertsch, Lorenzo Giacomelli, and Alberto Tesei SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 374-402, January 2019. We introduce and analyze a new, nonlinear fourth-order regularization of forward-backward parabolic equations. In one space...

By Ning Jiang and Yi-Long Luo SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 403-434, January 2019. We study Ericksen--Leslie's hyperbolic incompressible liquid crystal model. Under some constraints on the Leslie coefficients which...

By Martin J. Gander and Hui Zhang SIAM Review, Volume 61, Issue 1, Page 3-76, January 2019. Solving time-harmonic wave propagation problems by iterative methods is a difficult task, and over the last two decades an...

By Dmitry Golovaty, Peter Sternberg, and Raghavendra Venkatraman SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 276-320, January 2019. We carry out an asymptotic analysis of a variational problem relevant in the studies of nematic...

By Eddie Nijholt, Bob Rink, and Jan Sanders SIAM Review, Volume 61, Issue 1, Page 121-155, January 2019. Many systems in science and technology are networks: they consist of nodes with connections between them. Examples include electronic...

By Gjerrit Meinsma SIAM Review, Volume 61, Issue 1, Page 159-184, January 2019. A complete theory of dimensional and scaling analysis is presented and its power is demonstrated through a series of...

By Simone Carlo Surace, Anna Kutschireiter, and Jean-Pascal Pfister SIAM Review, Volume 61, Issue 1, Page 79-91, January 2019. Particle filters are a popular and flexible class of numerical algorithms to solve a large class of nonlinear filtering...

By Manjun Ma and Chunhua Ou SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 321-345, January 2019. In this paper, we study the selection mechanism of the minimal wave speed for traveling waves...

By Peter G. Fennell and James P. Gleeson SIAM Review, Volume 61, Issue 1, Page 92-118, January 2019. Multistate dynamical processes on networks, where nodes can occupy one of a multitude of discrete states, are gaining widespread...

By Joachim Crevat, Grégory Faye, and Francis Filbet SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 346-373, January 2019. We introduce a spatially extended transport kinetic FitzHugh--Nagumo model with forced local interactions and prove that...

By Silviu Filip, Aurya Javeed, and Lloyd N. Trefethen SIAM Review, Volume 61, Issue 1, Page 185-205, January 2019. The usual way in which mathematicians work with randomness is by a rigorous formulation of the idea of Brownian...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 1, Page 157-158, January 2019. In this issue, the Education section of SIAM Review presents two papers. The first is “Dimensional and Scaling Analysis,”...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 1, Page 77-77, January 2019. Short and to the point, “How to Avoid the Curse of Dimensionality: Scalability of Particle Filters with and...

By Volker H. Schulz SIAM Review, Volume 61, Issue 1, Page 209-225, January 2019. This time, the Book Reviews section has a large portion of reviews on books devoted to applications---in particular medical...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 1, Page 1-1, January 2019. The Survey and Review article in this issue is “A Class of Iterative Solvers for the Helmholtz Equation: Factorizations,...

By The Editors SIAM Review, Volume 61, Issue 1, Page 119-119, January 2019. Over the last fifteen years, SIAM Review has published a range of articles in the general area of network...

By Nacira Agram, Achref Bachouch, Bernt Øksendal, and Frank Proske SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 450-468, January 2019. The purpose of this paper is to study the following topics and the relation between them:...

By Balázs Boros SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 435-449, January 2019. We prove the following. For each weakly reversible mass-action system, there exists a positive steady state...

By Michiel Bertsch, Lorenzo Giacomelli, and Alberto Tesei SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 374-402, January 2019. We introduce and analyze a new, nonlinear fourth-order regularization of forward-backward parabolic equations. In one space...

By Ning Jiang and Yi-Long Luo SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 403-434, January 2019. We study Ericksen--Leslie's hyperbolic incompressible liquid crystal model. Under some constraints on the Leslie coefficients which...

By Martin J. Gander and Hui Zhang SIAM Review, Volume 61, Issue 1, Page 3-76, January 2019. Solving time-harmonic wave propagation problems by iterative methods is a difficult task, and over the last two decades an...

By Dmitry Golovaty, Peter Sternberg, and Raghavendra Venkatraman SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 276-320, January 2019. We carry out an asymptotic analysis of a variational problem relevant in the studies of nematic...

By Eddie Nijholt, Bob Rink, and Jan Sanders SIAM Review, Volume 61, Issue 1, Page 121-155, January 2019. Many systems in science and technology are networks: they consist of nodes with connections between them. Examples include electronic...

By Gjerrit Meinsma SIAM Review, Volume 61, Issue 1, Page 159-184, January 2019. A complete theory of dimensional and scaling analysis is presented and its power is demonstrated through a series of...

By Simone Carlo Surace, Anna Kutschireiter, and Jean-Pascal Pfister SIAM Review, Volume 61, Issue 1, Page 79-91, January 2019. Particle filters are a popular and flexible class of numerical algorithms to solve a large class of nonlinear filtering...

By Manjun Ma and Chunhua Ou SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 321-345, January 2019. In this paper, we study the selection mechanism of the minimal wave speed for traveling waves...

By Peter G. Fennell and James P. Gleeson SIAM Review, Volume 61, Issue 1, Page 92-118, January 2019. Multistate dynamical processes on networks, where nodes can occupy one of a multitude of discrete states, are gaining widespread...

By Joachim Crevat, Grégory Faye, and Francis Filbet SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 346-373, January 2019. We introduce a spatially extended transport kinetic FitzHugh--Nagumo model with forced local interactions and prove that...

By Silviu Filip, Aurya Javeed, and Lloyd N. Trefethen SIAM Review, Volume 61, Issue 1, Page 185-205, January 2019. The usual way in which mathematicians work with randomness is by a rigorous formulation of the idea of Brownian...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 1, Page 157-158, January 2019. In this issue, the Education section of SIAM Review presents two papers. The first is “Dimensional and Scaling Analysis,”...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 1, Page 77-77, January 2019. Short and to the point, “How to Avoid the Curse of Dimensionality: Scalability of Particle Filters with and...

By Volker H. Schulz SIAM Review, Volume 61, Issue 1, Page 209-225, January 2019. This time, the Book Reviews section has a large portion of reviews on books devoted to applications---in particular medical...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 1, Page 1-1, January 2019. The Survey and Review article in this issue is “A Class of Iterative Solvers for the Helmholtz Equation: Factorizations,...

By The Editors SIAM Review, Volume 61, Issue 1, Page 119-119, January 2019. Over the last fifteen years, SIAM Review has published a range of articles in the general area of network...

By Andrea K. Barreiro, Jared C. Bronski, and Zoi Rapti SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 256-275, January 2019. We identify a class of operator pencils, arising in a number of applications, which have only...

By Wojciech S. Ożański and James C. Robinson SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 228-255, January 2019. We prove two partial regularity results for the scalar equation $u_t+u_{xxxx}+\partial_{xx}u_x^2=0$, a model of surface growth...

By Xavier Claeys and Ralf Hiptmair SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 197-227, January 2019. We adapt the variational approach to the analysis of first-kind boundary integral equations associated with strongly...

By Robert J. Berman and Magnus Önnheim SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 159-196, January 2019. Dynamical systems of $N$ particles in $\Bbb{R}^{D}$ interacting by a singular pair potential of mean field...

By Jan Bouwe van den Berg and J. F. Williams SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 131-158, January 2019. In this paper we develop a symmetry preserving method for the rigorous computation of stationary states...

By Paolo Antonelli, Jack Arbunich, and Christof Sparber SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 110-130, January 2019. We study a class of focusing nonlinear Schrödinger-type equations derived recently by Dumas, Lannes, and Szeftel...

By James Scott and Tadele Mengesha SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 86-109, January 2019. We show that weak solutions to the strongly coupled system of nonlocal equations of linearized peridynamics...

By Huy Tuan Nguyen, Vo Anh Khoa, and Van Au Vo SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 60-85, January 2019. This paper presents a modified quasi-reversibility method for computing the exponentially unstable solution of a nonlocal...

By Habib Ammari, Hyundae Lee, and Hai Zhang SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 45-59, January 2019. This paper is concerned with the high-frequency homogenization of bubbly phononic crystals. It is a follow-up...

By Clarice Poon and Gabriel Peyré SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 1-44, January 2019. This paper studies sparse super-resolution in arbitrary dimensions. More precisely, it develops a theoretical analysis of...

By Jacob Bedrossian and Siming He SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6365-6372, January 2018. There is unfortunately a small gap in the original proof of one of the theorems in...

By Boya Liu SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6348-6364, January 2018. We are concerned with inverse boundary problems for first order perturbations of the Laplacian, which arise...

By Serena Dipierro, Alberto Farina, and Enrico Valdinoci SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6333-6347, January 2018. We consider a general energy functional for phase coexistence models, which comprises the case of Banach...

By Alexander Keimer, Lukas Pflug, and Michele Spinola SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6271-6306, January 2018. We consider a nonlocal conservation law on a bounded spatial domain and show existence and uniqueness...

By Mauro Bonafini, Giandomenico Orlandi, and Édouard Oudet SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6307-6332, January 2018. In this paper we consider variational problems involving 1-dimensional connected sets in the Euclidean plane, such...

By Venkateswaran P. Krishnan and Rohit Kumar Mishra SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6230-6254, January 2018. We study the microlocal inversion of the ray transform on symmetric $m$-tensor fields restricted to...

By Eemeli Blåsten SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6255-6270, January 2018. We consider the inverse source problem of a fixed wavenumber: study properties of an acoustic source...

By Xin Liu SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6100-6155, January 2018. We introduce a model concerning radiational gaseous stars and establish the existence theory of stationary solutions...

By Michael R. Novack SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6007-6048, January 2018. We study nematic liquid crystalline films within the framework of the Landau--de Gennes theory in the...

By Rita Ferreira and Diogo Gomes SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 5969-6006, January 2018. Here, we consider stationary monotone mean-field games (MFGs) and study the existence of weak solutions induced...

By Alexander Kiselev and Changhui Tan SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6208-6229, January 2018. The Euler--Poisson-alignment (EPA) system appears in mathematical biology and is used to model, in a hydrodynamic...

By Peter Constantin, Mihaela Ignatova, and Huy Q. Nguyen SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6196-6207, January 2018. We prove that the limit of any weakly convergent sequence of Leray--Hopf solutions of dissipative SQG...

By Hermano Frid, Daniel R. Marroquin, and Ronghua Pan SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6156-6195, January 2018. We establish the convergence of an approximation scheme to a model for aurora type phenomena. The...

By C. Bandle, D. D. Monticelli, and F. Punzo SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6082-6099, January 2018. We investigate the stability of time-periodic solutions of semilinear parabolic problems with Neumann boundary conditions, posed...

By Wladimir Neves, Evgeniy Panov, and Jean Silva SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 6049-6081, January 2018. This paper concerns the trace problem for quasi-solutions of scalar conservation laws defined in $\Omega \subset...

By Yongxin Chen, Giovanni Conforti, and Tryphon T. Georgiou SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 5947-5968, January 2018. The aim of this article is to introduce and address the problem to smoothly interpolate (empirical)...

By C. Perrin and M. Westdickenberg SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 5921-5946, January 2018. We consider a hybrid compressible/incompressible system with memory effects, introduced recently by Lefebvre-Lepot and Maury for...

By Mikhail Cherdantsev, Kirill Cherednichenko, and Shane Cooper SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 5825-5856, January 2018. Following a number of recent studies of resolvent and spectral convergence of nonuniformly elliptic families of...

By Anne De Bouard, Arnaud Debussche, and Reika Fukuizumi SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 5887-5920, January 2018. The stochastic Gross--Pitaevskii equation is used as a model to describe Bose--Einstein condensation at positive temperature....

By Hans Knüpfer and Florian Nolte SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 5857-5886, January 2018. We investigate the optimal shape and the scaling of the minimal energy of an isolated magnetic...

By Jörg-Uwe Löbus SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 5761-5782, January 2018. We investigate the Boltzmann equation with spatial smearing, diffusive boundary conditions, and Lions' collision kernel. Both...

By Andrea Sacchetti SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 5783-5810, January 2018. In this paper we consider stationary solutions to the nonlinear one-dimensional Schrödinger equation with a periodic...

By Tomasz Deͅbiec, Marie Doumic, Piotr Gwiazda, and Emil Wiedemann SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 5811-5824, January 2018. The aim of this study is to generalize recent results of the two last authors on...

By Feng Xie and Tong Yang SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 5749-5760, January 2018. In this paper, we prove the global existence of solutions with analytic regularity to the 2D...

By King-Yeung Lam, Xueying Wang, and Tianran Zhang SIAM Journal on Mathematical Analysis, Volume 50, Issue 6, Page 5719-5748, January 2018. In this paper, the necessary and sufficient conditions for the existence of traveling wave solutions...

By J. A. Carrillo, S. Fagioli, F. Santambrogio, and M. Schmidtchen SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5695-5718, January 2018. One of the most fascinating phenomenon observed in reaction diffusion systems is the emergence of segregated...

By Yong Wang SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5637-5694, January 2018. In this paper, we prove the global existence and uniqueness of a mild solution to the...

By Cristóbal J. Meron͂o SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5616-5636, January 2018. We prove that in dimension $n \ge 2$ the main singularities of a complex potential $q$...

By A. Ghazaryan, Y. Latushkin, and X. Yang SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5569-5615, January 2018. We study the planar front solution for a class of reaction diffusion equations in multidimensional space...

By Megan Griffin-Pickering and Mikaela Iacobelli SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5502-5536, January 2018. This paper concerns the derivation of the kinetic isothermal Euler system in dimension $d\ge1$ from an...

By Walter Craig, Maxime Gazeau, Christophe Lacave, and Catherine Sulem SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5477-5501, January 2018. The system of equations for water waves, when linearized about an equilibrium of a fluid body...

By Susely Figueroa Iglesias and Sepideh Mirrahimi SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5537-5568, January 2018. We study the long time behavior of a parabolic Lotka--Volterra type equation considering a time-periodic growth...

By M. Azaïez, F. Ben Belgacem, J. Casado-Díaz, T. Chacón Rebollo, and F. Murat SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5426-5445, January 2018. We introduce a new algorithm of proper generalized decomposition (PGD) for parametric symmetric elliptic partial differential...

By Richard M. Höfer SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5446-5476, January 2018. We study the Vlasov--Stokes equations which macroscopically model the sedimentation of a cloud of particles in...

By Neng Zhu, Zhengrong Liu, Vincent R. Martinez, and Kun Zhao SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5380-5425, January 2018. We study the qualitative behavior of solutions to the Cauchy problem of a coupled system in...

By Laurent Michel and Maciej Zworski SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5362-5379, January 2018. We consider the Kramers--Smoluchowski equation at a low temperature regime and show how semiclassical techniques developed...

By Yu Gu, Tomasz Komorowski, and Lenya Ryzhik SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5293-5336, January 2018. We consider a semilinear advection equation driven by a highly oscillatory space-time Gaussian random field, with...

By B. Bogosel, A. Henrot, and I. Lucardesi SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5337-5361, January 2018. In this paper we look for the domains minimizing the $h$th eigenvalue of the Dirichlet-Laplacian $\lambda_h$...

By Qingquan Deng, Avy Soffer, and Xiaohua Yao SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5243-5292, January 2018. In this work we mainly consider the dynamics and scattering of a narrow soliton of the...

By Nicolas Dirr, Federica Dragoni, Paola Mannucci, and Claudio Marchi SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5198-5242, January 2018. We study the stochastic homogenization for a Cauchy problem for a first-order Hamilton--Jacobi equation whose operator...

By J. S. Ben-Benjamin, L. Cohen, N. C. Dias, P. Loughlin, and J. N. Prata SIAM Journal on Mathematical Analysis, Volume 50, Issue 5, Page 5161-5197, January 2018. We consider an arbitrary square integrable function $F$ on the phase-space and look for the Wigner...

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 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 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 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 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...

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 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...

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.

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 lecture is awarded annually for distinguished contributions to applied mathematics and for the effective communication of these ideas to the community.

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.

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

This 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.

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.

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

The 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.

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.

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.

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.

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 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 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 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!

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.