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

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

By Volker H. Schulz SIAM Review, Volume 62, Issue 1, Page 283-297, January 2020. The frame for the Book Reviews section this time is formed by the books of two very well known...

By The Editors SIAM Review, Volume 62, Issue 1, Page 197-197, January 2020. The SIGEST article in this issue, “Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 1, Page 131-131, January 2020. Tensors, or multiway arrays, are often used for storage of high-dimensional data. In order to have compression, completion,...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 1, Page 1-1, January 2020. Bernard Brogliato and Aneel Tanwani are the authors of “Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness,...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 1, Page 229-230, January 2020. The Education section of SIAM Review presents three papers in this issue. In the first paper Robert M. Corless...

By Guillaume Carlier and Maxime Laborde SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 709-717, January 2020. We develop an elementary and self-contained differential approach, in an $L^{\infty}$ setting, for well-posedness (existence, uniqueness,...

By Matteo Novaga and Paola Pozzi SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 682-708, January 2020. We consider a second order gradient flow of the p-elastic energy for a planar theta-network of...

By Hao Jia SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 623-652, January 2020. We give an alternative proof of sharp decay rates and the linear inviscid damping near monotone...

By Tokinaga and Piotr Rybka SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 653-681, January 2020. We study a fractional diffusion problem in the divergence form in one space dimension. We define...

By Dorian Le Peutrec and Boris Nectoux SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 581-604, January 2020. Let $f: \mathbb R^{d} \to \mathbb R$ be a smooth function, and let $(X_t)_{t\ge 0}$ be...

By Dario Feliciangeli and Robert Seiringer SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 605-622, January 2020. We consider the Pekar functional on a ball in $\mathbb{R}^3$. We prove uniqueness of minimizers, and...

By Cătălin I. Cârstea, Tu Nguyen, and Jenn-Nan Wang SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 570-580, January 2020. The aim of this paper is twofold. First, we derive quantitative uniqueness estimates in...

By Xiaochuan Tian and Qiang Du SIAM Review, Volume 62, Issue 1, Page 199-227, January 2020. Many problems in nature, being characterized by a parameter, are of interest both with a fixed parameter value...

By Bernard Brogliato and Aneel Tanwani SIAM Review, Volume 62, Issue 1, Page 3-129, January 2020. This survey article addresses the class of continuous-time systems where a system modeled by ordinary differential equations is...

By David Hong, Tamara G. Kolda, and Jed A. Duersch SIAM Review, Volume 62, Issue 1, Page 133-163, January 2020. Tensor decomposition is a fundamental unsupervised machine learning method in data science, with applications including network analysis and sensor...

By Tracy L. Stepien, Eric J. Kostelich, and Yang Kuang SIAM Review, Volume 62, Issue 1, Page 244-263, January 2020. Most undergraduates have limited experience with mathematical modeling. In an effort to respond to various initiatives, such as the...

By Antônio Francisco Neto SIAM Review, Volume 62, Issue 1, Page 264-280, January 2020. In this work we introduce a new operator based approach to matrix analysis. Our main technical tool comprises an...

By Nawaf Bou-Rabee and Miranda C. Holmes-Cerfon SIAM Review, Volume 62, Issue 1, Page 164-195, January 2020. Sticky Brownian motion is the simplest example of a diffusion process that can spend finite time both in the...

By Robert M. Corless and Leili Rafiee Sevyeri SIAM Review, Volume 62, Issue 1, Page 231-243, January 2020. We look at two classical examples in the theory of numerical analysis, namely, the Runge example for interpolation and...

By Volker H. Schulz SIAM Review, Volume 62, Issue 1, Page 283-297, January 2020. The frame for the Book Reviews section this time is formed by the books of two very well known...

By The Editors SIAM Review, Volume 62, Issue 1, Page 197-197, January 2020. The SIGEST article in this issue, “Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 1, Page 131-131, January 2020. Tensors, or multiway arrays, are often used for storage of high-dimensional data. In order to have compression, completion,...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 1, Page 1-1, January 2020. Bernard Brogliato and Aneel Tanwani are the authors of “Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness,...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 1, Page 229-230, January 2020. The Education section of SIAM Review presents three papers in this issue. In the first paper Robert M. Corless...

By Guillaume Carlier and Maxime Laborde SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 709-717, January 2020. We develop an elementary and self-contained differential approach, in an $L^{\infty}$ setting, for well-posedness (existence, uniqueness,...

By Matteo Novaga and Paola Pozzi SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 682-708, January 2020. We consider a second order gradient flow of the p-elastic energy for a planar theta-network of...

By Hao Jia SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 623-652, January 2020. We give an alternative proof of sharp decay rates and the linear inviscid damping near monotone...

By Tokinaga and Piotr Rybka SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 653-681, January 2020. We study a fractional diffusion problem in the divergence form in one space dimension. We define...

By Dorian Le Peutrec and Boris Nectoux SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 581-604, January 2020. Let $f: \mathbb R^{d} \to \mathbb R$ be a smooth function, and let $(X_t)_{t\ge 0}$ be...

By Dario Feliciangeli and Robert Seiringer SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 605-622, January 2020. We consider the Pekar functional on a ball in $\mathbb{R}^3$. We prove uniqueness of minimizers, and...

By Cătălin I. Cârstea, Tu Nguyen, and Jenn-Nan Wang SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 570-580, January 2020. The aim of this paper is twofold. First, we derive quantitative uniqueness estimates in...

By Xiaochuan Tian and Qiang Du SIAM Review, Volume 62, Issue 1, Page 199-227, January 2020. Many problems in nature, being characterized by a parameter, are of interest both with a fixed parameter value...

By Bernard Brogliato and Aneel Tanwani SIAM Review, Volume 62, Issue 1, Page 3-129, January 2020. This survey article addresses the class of continuous-time systems where a system modeled by ordinary differential equations is...

By David Hong, Tamara G. Kolda, and Jed A. Duersch SIAM Review, Volume 62, Issue 1, Page 133-163, January 2020. Tensor decomposition is a fundamental unsupervised machine learning method in data science, with applications including network analysis and sensor...

By Tracy L. Stepien, Eric J. Kostelich, and Yang Kuang SIAM Review, Volume 62, Issue 1, Page 244-263, January 2020. Most undergraduates have limited experience with mathematical modeling. In an effort to respond to various initiatives, such as the...

By Antônio Francisco Neto SIAM Review, Volume 62, Issue 1, Page 264-280, January 2020. In this work we introduce a new operator based approach to matrix analysis. Our main technical tool comprises an...

By Nawaf Bou-Rabee and Miranda C. Holmes-Cerfon SIAM Review, Volume 62, Issue 1, Page 164-195, January 2020. Sticky Brownian motion is the simplest example of a diffusion process that can spend finite time both in the...

By Robert M. Corless and Leili Rafiee Sevyeri SIAM Review, Volume 62, Issue 1, Page 231-243, January 2020. We look at two classical examples in the theory of numerical analysis, namely, the Runge example for interpolation and...

By Lyle Noakes and Luchezar Stoyanov SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 471-480, January 2020. It was proved in [L. Noakes and L. Stoyanov, Proc. Amer. Math. Soc., 143 (2015),...

By Zhewen Feng, Min-Chun Hong, and Yu Mei SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 481-523, January 2020. We establish the local well-posedness of the general Ericksen-Leslie system in liquid crystals with the initial...

By Radu Ignat, Matthias Kurzke, and Xavier Lamy SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 524-542, January 2020. For varepsilon>0, let u_varepsilon:Omega to R^2 be a solution of the Ginzburg-Landau system -Delta u_varepsilon=\frac1varepsilon^2 u_varepsilon...

By Gergö Nemes and Adri B. Olde Daalhuis SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 437-470, January 2020. Surprisingly, apart from some special cases, simple asymptotic expansions for the associated Legendre functions P_\nu ^\mu...

By Messoud A. Efendiev, Mitsuharu Otani, and Hermann J. Eberl SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 543-569, January 2020. The model that we investigate here is motivated by the mitochondrial swelling process controlled by calcium...

By Bastian Harrach and Yi-Hsuan Lin SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 402-436, January 2020. In this work, we use monotonicity-based methods for the fractional Schrödinger equation with general potentials q...

By Aymeric Baradat SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 370-401, January 2020. In [An Entropic Interpolation Problem for Incompressible Viscid Fluids, preprint, arXiv:1704.02126, 2017] Arnaudon et al. introduced...

By Harald Garcke and Patrik Knopf SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 340-369, January 2020. The Cahn--Hilliard equation is the most common model to describe phase separation processes of a mixture...

By Edoardo Bocchi SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 306-339, January 2020. The floating structure problem describes the interaction between surface water waves and a floating body, generally...

By Mathew A. Johnson and Wesley R. Perkins SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 277-305, January 2020. In this paper, we are interested in studying the modulational dynamics of interfacial waves rising buoyantly...

By Maria Colombo and Luigi De Rosa SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 221-238, January 2020. In this work we investigate some regularization properties of the incompressible Euler equations and of the...

By Florian List, Kundan Kumar, Iuliu Sorin Pop, and Florin Adrian Radu SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 239-276, January 2020. In this work, we consider a mathematical model for flow in an unsaturated porous medium containing...

By Yuki Kaneko, Hiroshi Matsuzawa, and Yoshio Yamada SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 65-103, January 2020. We will study a free boundary problem of nonlinear diffusion equation $u_t=u_{xx}+f(u),t>0, 0

By Yannis Angelopoulos, Rowan Killip, and Monica Visan SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 135-163, January 2020. We consider discrete analogues of two well-known open problems regarding invariant measures for dispersive PDE, namely,...

By Henrik Garde, Nuutti Hyvönen, and Topi Kuutela SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 197-220, January 2020. This work considers properties of the logarithm of the Neumann-to-Dirichlet boundary map for the conductivity equation...

By Jun Geng and Jinping Zhuge SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 104-134, January 2020. In this paper, we consider a family of second-order elliptic systems subject to a periodically oscillating...

By Laurent Lafleche SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 164-196, January 2020. This article studies a Fokker--Planck type equation of fractional diffusion with conservative drift $\partial_tf = \Delta^\frac{\alpha}{2}...

By Ayman Moussa SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 42-64, January 2020. This paper solves partially a question suggested by Fontbona and Méléard. The issue is to obtain...

By Bernard Deconinck and Jeremy Upsal SIAM Journal on Mathematical Analysis, Volume 52, Issue 1, Page 1-41, January 2020. We examine the stability of the elliptic solutions of the focusing nonlinear Schrödinger equation (NLS) with...

By Yi Du, Wang Yang, and Yi Zhou SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 5077-5102, January 2019. We study the stability of a kind of stratified flow of the two-dimensional inviscid incompressible magnetohydrodynamics...

By Masato Kimura, Patrick van Meurs, and Zhenxing Yang SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 5049-5076, January 2019. We consider the dynamics of interacting particle systems where the particles are confined to a bounded,...

By Yangyang Qiao, Huanyao Wen, and Steinar Evje SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 5103-5140, January 2019. In this work we consider the initial-boundary value problem for a generalized, compressible, porous media two-phase...

By Vito Crismale SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 5011-5048, January 2019. Three density theorems for three suitable subspaces of $SBD$ functions, in the strong $BD$ topology, are...

By Chunpeng Wang SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4977-5010, January 2019. This paper concerns a free boundary problem of a quasilinear degenerate elliptic equation, which arises...

By Ali Feizmohammadi and Yavar Kian SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4953-4976, January 2019. We study the problem of unique recovery of a nonsmooth one-form $\mathcal{A}$ and a scalar function...

By Logan F. Stokols SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4815-4847, January 2019. In this work, Hölder continuity is obtained for solutions to the nonlocal kinetic Fokker--Planck equation and...

By Antoine Remond-Tiedrez and Ian Tice SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4894-4952, January 2019. We study a three-dimensional incompressible viscous fluid in a horizontally periodic domain with finite depth whose...

By Marco Cicalese, Marwin Forster, and Gianluca Orlando SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4848-4893, January 2019. We study the discrete-to-continuum variational limit of the $J_{1}$-$J_{3}$ spin model on the square lattice in...

By Pascal Mindt, Jens Lang, and Pia Domschke SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4754-4775, January 2019. This paper is concerned with coupling conditions at junctions for transport models which differ in their...

By Mehdi Badra and Takéo Takahashi SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4776-4814, January 2019. We analyze a bidimensional fluid-structure interaction system composed of a viscous incompressible fluid and a beam...

By Rui Peng, Guanghui Zhang, and Maolin Zhou SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4724-4753, January 2019. In this article, we are concerned with the following eigenvalue problem of a second order linear...

By Katherine Zhiyuan Zhang SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4683-4723, January 2019. We consider the plasma confined in a general axisymmetric spatial domain with perfect conducting boundary which...

By Jie Jiang SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4604-4644, January 2019. In this paper we develop a unified approach to study the eventual smoothness and exponential stabilization...

By Felix Otto, Sebastian Scholtes, and Maria G. Westdickenberg SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4645-4682, January 2019. In this paper we derive optimal algebraic-in-time relaxation rates to the kink for the Cahn--Hilliard equation...

By Andres Contreras and Guanying Peng SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4490-4519, January 2019. We analyze a mean field model for 3D anisotropic superconductors with a layered structure, in the...

By Jianliang Li and Peijun Li SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4570-4603, January 2019. Consider the inverse random source scattering problem for the two-dimensional time-harmonic elastic wave equation with a...

By Jonathan Hickman, Felipe Linares, Oscar G. Rian͂o, Keith M. Rogers, and James Wright SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4544-4569, January 2019. We consider a higher dimensional version of the Benjamin--Ono equation, $\partial_t u -\mathcal{R}_1\Delta u+u\partial_{x_1} u=0$, where...

By Michele O. Alves, Eduardo H. Gomes Tavares, Marcio A. Jorge Silva, and José H. Rodrigues SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4520-4543, January 2019. In this paper we first explore the deduction of the mathematical model for some viscoelastic Timoshenko...

By Gero Friesecke SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4332-4355, January 2019. It is known from clever mathematical examples [G. Carlier, Lecture Notes IMA, New Mathematical Models in...

By Junshan Lin and Hai Zhang SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4448-4489, January 2019. We develop a mathematical theory for the excitation of surface plasmon resonance on an infinitely thick...

By Hanna Demchenko, Andrii Anikushyn, and Michael Pokojovy SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4382-4412, January 2019. An initial-boundary value problem for a viscoelastic wave equation subject to a strong time-localized delay in...

By Alexander Fedotov and Frédéric Klopp SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4413-4447, January 2019. We consider the difference Schrödinger equation $\psi(z+h)+\psi(z-h)+ v(z)\psi(z)=0$, where $z$ is a complex variable, $h>0$ is...

By Giovanni S. Alberti, Francesca Bartolucci, Filippo De Mari, and Ernesto De Vito SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4356-4381, January 2019. We consider the Radon transform associated to dual pairs $(X,\Xi)$ in the sense of Helgason, with...

By Scipio Cuccagna and Masaya Maeda SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4311-4331, January 2019. We consider a nonlinear Schrödinger equation (NLS) with a very general nonlinear term and with a...

By Ricardo H. Nochetto, Konstantina Trivisa, and Franziska Weber SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4245-4286, January 2019. This article establishes the global existence of weak solutions to a model proposed by Rosensweig...

By Andreas Gastel SIAM Journal on Mathematical Analysis, Volume 51, Issue 6, Page 4287-4310, January 2019. For minimizers in a geometrically nonlinear Cosserat model for micropolar elasticity of continua, we prove interior...

By Piermarco Cannarsa, Wei Cheng, Marco Mazzola, and Kaizhi Wang SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 4213-4244, January 2019. We study the nonhomogeneous Dirichlet problem for first-order Hamilton--Jacobi equations associated with Tonelli Hamiltonians on a...

By Ricardo Grande SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 4172-4212, January 2019. In this paper we prove local well-posedness of a space-time fractional generalization of the nonlinear Schrödinger...

By Hoai-Minh Nguyen and Loc X. Tran SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 4142-4171, January 2019. We study approximate cloaking using transformation optics for electromagnetic waves in the time domain. Our approach...

By Olivier Menoukeu-Pamen and Ludovic Tangpi SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 4105-4141, January 2019. In this paper, we are interested in the following forward stochastic differential equation (SDE): $d X_{t}=b(t,\omega,X_{t})d...

By Marcelo M. Disconzi, Igor Kukavica, and Amjad Tuffaha SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3982-4022, January 2019. We consider the three-dimensional incompressible free boundary Euler equations in a bounded domain and with surface...

By Grace Liu SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 4023-4073, January 2019. In this paper we consider the long time behavior of solutions to the cubic nonlinear Schrödinger...

By Hung Le SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 4074-4104, January 2019. This paper considers the existence and stability properties of two-dimensional solitary waves traversing an infinitely...

By Silvio Fanzon, Mariapia Palombaro, and Marcello Ponsiglione SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3956-3981, January 2019. In this paper we show the emergence of polycrystalline structures as a result of elastic...

By Irene M. Gamba, Nataša Pavlović, and Maja Tasković SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3921-3955, January 2019. In this paper we prove a conditional result on the propagation in time of weighted...

By Patrick W. Dondl, Matteo Novaga, Benedikt Wirth, and Stephan Wojtowytsch SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3902-3920, January 2019. We develop a phase-field approximation of the relaxation of the perimeter functional in the plane under...

By David Borthwick, Roland Donninger, Enno Lenzmann, and Jeremy L. Marzuola SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3854-3901, January 2019. We consider the focusing nonlinear Schrödinger equation on a large class of rotationally symmetric, noncompact manifolds....

By John D. Pinezich SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3796-3818, January 2019. The evolution of the singular set of points in solutions to Hamilton--Jacobi equations is an active...

By Zili Chen and Xiuxia Yin SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3819-3853, January 2019. We consider well-posedness and asymptotic behavior of solutions to the kinetic Cucker--Smale model. Based on a...

By Hongkai Zhao and Yimin Zhong SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3750-3768, January 2019. In this work, we study the instability of an inverse problem of radiative transport equation with...

By Ryan Hynd SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3769-3795, January 2019. The sticky particle system is a system of partial differential equations which assert the conservation of...

By Leonid Chaichenets, Dirk Hundertmark, Peer Kunstmann, and Nikolaos Pattakos SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3714-3749, January 2019. We show the existence of weak solutions in the extended sense of the Cauchy problem for...

By Helge Holden and Nils Henrik Risebro SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3694-3713, January 2019. We study vehicular traffic on a road with multiple lanes and dense, unidirectional traffic following the...

By Jinkai Li SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3666-3693, January 2019. In this paper we consider the initial-boundary value problem to the one-dimensional compressible Navier--Stokes equations for...

By M. Kassmann, A. Piatnitski, and E. Zhizhina SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3641-3665, January 2019. The paper deals with homogenization of Lévy-type operators with rapidly oscillating coefficients. We consider cases...

By Alexandru Hening and Edouard Strickler SIAM Journal on Mathematical Analysis, Volume 51, Issue 5, Page 3625-3640, January 2019. We study the dynamics of a predator-prey system in a random environment. The dynamics evolves according...

By Esther S. Daus, Pina Milišić, and Nicola Zamponi SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3569-3605, January 2019. We analyze the mathematical properties of a multispecies biofilm cross-diffusion model together with very general reaction...

By Ryan Hynd and Erik Lindgren SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3606-3624, January 2019. We study the doubly nonlinear PDE $ |\partial_t u|^{p-2}\,\partial_t u-\operatorname{div}(|\nabla u|^{p-2}\nabla u)=0. $ This equation arises...

By Silvia Cingolani and Louis Jeanjean SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3533-3568, January 2019. The paper deals with the existence of standing wave solutions for the Schrödinger--Poisson system with prescribed...

By Jingzhi Li, Hongyu Liu, and Shiqi Ma SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3465-3491, January 2019. We are concerned with the direct and inverse scattering problems associated with a time-harmonic random Schrödinger...

By Mats Ehrnström and Yuexun Wang SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3298-3323, January 2019. We consider the fractional Korteweg--de Vries equation \(u_t + u u_x - |D|^\alpha u_x = 0\)...

By Giovanni Gravina and Giovanni Leoni SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3337-3372, January 2019. A mixed Dirichlet--Neumann problem is regularized with a family of singularly perturbed Neumann--Robin boundary problems, parametrized...

By Giovanni Di Fratta, Valeriy Slastikov, and Arghir Zarnescu SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3373-3387, January 2019. The main aim of this note is to prove a sharp Poincaré-type inequality for vector-valued functions...

By Mikel Agirre and Luis Vega SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3324-3336, January 2019. We present some lower bounds for regular solutions of Schrödinger equations with bounded and time dependent...

By David Gontier and Mathieu Lewin SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3388-3423, January 2019. We study the breaking of spin symmetry for the nonlinear Hartree--Fock model describing an infinite translation-invariant...

By Janusz Ginster SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3424-3464, January 2019. In this paper, we derive by means of $\Gamma$-convergence a macroscopic strain-gradient plasticity theory from a...

By Willem M. Schouten-Straatman and Hermen Jan Hupkes SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3492-3532, January 2019. We establish the existence and nonlinear stability of traveling wave solutions for a class of lattice...

By Wentao Cao, Feimin Huang, and Difan Yuan SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3276-3297, January 2019. We are concerned with the global existence of entropy solutions for the compressible Euler equations...

By Yunbai Cao SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3195-3275, January 2019. We consider the Boltzmann equation with external fields in strictly convex domains with diffuse reflection boundary...

By Richard Kollár, Bernard Deconinck, and Olga Trichtchenko SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3145-3169, January 2019. Various approaches to studying the stability of solutions of nonlinear PDEs lead to explicit formulae determining...

By Luis Almeida, Yannick Privat, Martin Strugarek, and Nicolas Vauchelet SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3170-3194, January 2019. In this article, we consider a simplified model of time dynamics for a mosquito population subject...

By Graziano Guerra and Wen Shen SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3112-3144, January 2019. Solutions to a class of one-dimensional conservation laws with discontinuous flux are constructed relying on the...

By Bastian Harrach, Valter Pohjola, and Mikko Salo SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 2995-3019, January 2019. The article [B. Harrach, V. Pohjola, and M. Salo, Anal. PDE] established a monotonicity inequality...

By Bastian Harrach and Yi-Hsuan Lin SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3092-3111, January 2019. We consider an inverse problem for the fractional Schrödinger equation by using monotonicity formulas. We provide...

By Fabio Ancona, Olivier Glass, and Khai T. Nguyen SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3020-3051, January 2019. In the case of scalar conservation laws $u_{t} + f(u)_{x}~=~0, t\geq 0, x\in\mathbb{R}$, with uniformly...

By Denis Bonheure, Filippo Gazzola, and Ederson Moreira Dos Santos SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 3052-3091, January 2019. A thin and narrow rectangular plate having the two short edges hinged and the two long...

By Zhouping Xin, Qian Yuan, and Yuan Yuan SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 2971-2994, January 2019. In this paper we study large time behaviors toward shock waves and rarefaction waves under periodic...

By Changxing Miao and Liutang Xue SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 2927-2970, January 2019. In this paper we address the regularity issues of drift-diffusion equation with nonlocal diffusion, where the...

By Maria Colombo, Simone Di Marino, and Federico Stra SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 2903-2926, January 2019. We provide sharp conditions for the finiteness and the continuity of multimarginal optimal transport with repulsive...

By Uyen Le and Dmitry E. Pelinovsky SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 2850-2883, January 2019. Petviashvili's method has been successfully used for approximating solitary waves in nonlinear evolution equations. It...

By Gonzalo Galiano and Julián Velasco SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 2884-2902, January 2019. We prove the existence and uniqueness of a solution of a nonlocal cross-diffusion competitive population model...

By Tomasz Piasecki, Yoshihiro Shibata, and Ewelina Zatorska SIAM Journal on Mathematical Analysis, Volume 51, Issue 4, Page 2793-2849, January 2019. We investigate a system describing the flow of a compressible two-component mixture. The system is composed...

By Cheng-Jie Liu, Feng Xie, and Tong Yang SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2748-2791, January 2019. The paper aims to justify the high Reynolds numbers limit for the magnetohydrodynamics system with Prandtl...

By Mihai Bostan SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2713-2747, January 2019. The subject matter of this paper concerns the Vlasov--Poisson equations in the framework of magnetic...

By Young-Pil Choi and Jan Haskovec SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2660-2685, January 2019. We study a hydrodynamic Cucker--Smale-type model with time delay in communication and information processing, in which...

By Matthew D. Novack SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2686-2712, January 2019. The purpose of this note is to study the weak solutions to the inviscid quasi-geostrophic system...

By Heiner Olbermann SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2599-2632, January 2019. We consider the Willmore functional on graphs, with an additional penalization of the area where the...

By Toan T. Nguyen and Trinh T. Nguyen SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2575-2598, January 2019. We establish the inviscid limit of the incompressible Navier--Stokes equations on the whole plane $\Bbb{R}^2$ for...

By Andrea Giorgini, Alain Miranville, and Roger Temam SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2535-2574, January 2019. The motion of two contiguous incompressible and viscous fluids is described within the diffuse interface theory...

By E. Baspinar and G. Citti SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2633-2659, January 2019. We provide a uniqueness result for a class of viscosity solutions to sub-Riemannian mean curvature flows....

By Anna Zhigun SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2425-2443, January 2019. The existence of generalized global supersolutions with a control upon the total mass is established for...

By Hongjie Dong and Longjuan Xu SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2444-2478, January 2019. In this paper, we show that $W^{1,p}$ $(1\leq p < \infty)$ weak solutions to divergence form...

By Harbir Antil and Carlos N. Rautenberg SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2479-2503, January 2019. We propose a new variational model in weighted Sobolev spaces with nonstandard weights and applications...

By Ning Jiang and Xu Zhang SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2504-2534, January 2019. We consider the Boltzmann equations with cutoff collision kernels in bounded domains. For the initial data...

By Hyeong-Ohk Bae, Seung-Yeal Ha, Jeongho Kim, Dongnam Ko, and Sung-Ik Sohn SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2390-2424, January 2019. We study the Cucker--Smale (C-S) type model in a cylindrical domain with a specular reflection boundary...

By Zdzisław Brzeźniak and Elżbieta Motyl SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2306-2358, January 2019. A stochastic fractionally dissipative quasi-geostrophic type equation on ${\mathbb{R}}^{d}$ with a multiplicative Gaussian noise is considered....

By Dian Hu and Yongqian Zhang SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2372-2389, January 2019. In this paper, we establish the global existence of a steady symmetric conic shock wave when...

By Augusto Gerolin, Anna Kausamo, and Tapio Rajala SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2359-2371, January 2019. We give an example of an absolutely continuous measure $\mu$ on $\mathbb{R}^d$ for any $d \ge...

By Gershon Wolansky SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2286-2305, January 2019. The contact angle of a liquid drop on a rigid surface is determined by the classical...

By Maximilian Thaller SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2231-2260, January 2019. In this article the static Einstein--Vlasov--Maxwell system is considered in spherical symmetry. This system describes an...

By Jérémie Bigot, Elsa Cazelles, and Nicolas Papadakis SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2261-2285, January 2019. In this paper, a regularization of Wasserstein barycenters for random measures supported on $\mathbb{R}^{d}$ is introduced...

By Dejan Slepčev and Matthew Thorpe SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2085-2120, January 2019. We investigate a family of regression problems in a semisupervised setting. The task is to assign...

By Vittorio Coti Zelati and Margherita Nolasco SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2206-2230, January 2019. We study the Dirac--Maxwell system coupled with an external potential of Coulomb type. We prove the...

By Jiahui Zhu, Zdzisław Brzeźniak, and Wei Liu SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2121-2167, January 2019. We present remarkably simple proofs of Burkholder--Davis--Gundy inequalities for stochastic integrals and maximal inequalities for stochastic...

By Matthew R. I. Schrecker and Simon Schulz SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2168-2205, January 2019. We prove the convergence of the vanishing viscosity limit of the one-dimensional, isentropic, compressible Navier--Stokes equations...

By Stanislav Kondratyev and Dmitry Vorotnikov SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2053-2084, January 2019. We study nonlinear degenerate parabolic equations of Fokker--Planck type that can be viewed as gradient flows...

By Mladen Jurak, Ivana Radišić, and Ana Žgaljić Keko SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 2019-2052, January 2019. We study a system of equations governing liquid and gas flow in porous media. The gas...

By Andrea Marchese, Annalisa Massaccesi, and Riccardo Tione SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1965-1998, January 2019. In this paper we study a variant of the branched transportation problem, that we call the...

By Constantine M. Dafermos SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1999-2018, January 2019. In the setting of a simple hyperbolic system of balance laws with relaxation, the paper explores...

By Xin Liu and Edriss S. Titi SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1913-1964, January 2019. We show the existence of global weak solutions to the three-dimensional compressible primitive equations of atmospheric...

By Matthias Ebenbeck and Harald Garcke SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1868-1912, January 2019. In this work, we study a model consisting of a Cahn--Hilliard-type equation for the concentration of...

By Qingshan Chen SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1836-1867, January 2019. The inviscid barotropic quasi-geostrophic equation with a free surface is considered. The free surface mandates a...

By Hongjie Dong, Tong Yang, and Mingying Zhong SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1792-1823, January 2019. We will present in this paper a linear theory on a flow under...

By Franco Flandoli and Dejun Luo SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1761-1791, January 2019. The Kolmogorov equation associated to a stochastic two dimensional Euler equation with transport type noise and...

By Stanislav Molchanov and Boris Vainberg SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1824-1835, January 2019. Symmetric random walks in $R^d$ and $Z^d$ are considered. It is assumed that the jump distribution...

By Myoungjean Bae and Hyangdong Park SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1730-1760, January 2019. We prove the existence of a subsonic weak solution $({u}, \rho, p)$ to a steady Euler...

By Joackim Bernier and Erwan Faou SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1607-1656, January 2019. We consider the problem of existence and stability of solitary traveling waves for the one-dimensional discrete...

By Xavier Pellet, Lucia Scardia, and Caterina Ida Zeppieri SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1696-1729, January 2019. We prove a homogenization result for Mumford--Shah-type energies associated to a brittle composite material with weak...

By Anup Biswas and József Lörinczi SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1543-1581, January 2019. We consider Dirichlet exterior value problems related to a class of nonlocal Schrödinger operators, whose kinetic...

By Giusy Mazzone, Jan Prüss, and Gieri Simonett SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1582-1606, January 2019. We consider the inertial motion of a system constituted by a rigid body with an interior...

By Sameer Iyer SIAM Journal on Mathematical Analysis, Volume 51, Issue 3, Page 1657-1695, January 2019. In this article we establish the validity of Prandtl layer expansions around Euler flows which are...

By Jaeyoung Byeon, Youngae Lee, and Zhi-Qiang Wang SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1514-1542, January 2019. This paper is concerned with the asymptotic behavior of least energy vector solutions for nonlinear Schrödinger...

By Joseph Thirouin SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1454-1495, January 2019. The purpose of this paper is to go further into the study of the quadratic Szegö...

By Peng-Fei Yao SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1387-1435, January 2019. We perform a detailed analysis of the solvability of linear strain equations on hyperbolic surfaces under...

By Eduard Feireisl, Christian Klingenberg, and Simon Markfelder SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1496-1513, January 2019. In this paper, we propose a new approach to singular limits of inviscid fluid flows based...

By Xinfu Chen and Yuanwei Qi SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1436-1453, January 2019. The reaction-diffusion system $ u_t = u_{xx} - u g(v), v_t = D v_{xx}...

By Nikos Katzourakis SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1349-1370, January 2019. In this paper we utilize new methods of calculus of variations in $L^\infty$ to provide a...

By Arnaud Eychenne and Nicolas Rougerie SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1371-1386, January 2019. We study the existence of energy minimizers for a Bose--Einstein condensate with dipole-dipole interactions, tightly confined...

By Karsten Matthies and Florian Theil SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1321-1348, January 2019. We study the long-time behavior of symmetric solutions of the nonlinear Boltzmann equation and a closely...

By T. Chang, B. J. Jin, and A. Novotný SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1238-1278, January 2019. We prove existence of weak solutions to the compressible Navier--Stokes equations in a barotropic regime (adiabatic...

By Emmanuel Grenier and Toan T. Nguyen SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1279-1296, January 2019. The classical Orr--Sommerfeld equations are the resolvent equations of the linearized Navier--Stokes equations around a stationary...

By Younghun Hong and Changhun Yang SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1297-1320, January 2019. We consider discrete nonlinear Schrödinger equations (DNLS) on the lattice $h\Bbb{Z}^d$ whose linear part is determined...

By Federico Cornalba, Tony Shardlow, and Johannes Zimmer SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1137-1187, January 2019. The Dean--Kawasaki model consists of a nonlinear stochastic partial differential equation featuring a conservative, multiplicative, stochastic...

By Justin Dekeyser SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1209-1237, January 2019. We bring new results in the study of the asymptotic behavior of shrinking vortex pairs obtained...

By Anna Geyer and D. Pelinovsky SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1188-1208, January 2019. The stability of the peaked periodic wave in the reduced Ostrovsky equation has remained an open...

By Julian Braun, Maciej Buze, and Christoph Ortner SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1108-1136, January 2019. In linearized continuum elasticity, the elastic strain due to a straight dislocation line decays as $O(r^{-1})$,...

By StanisŁaw Migórski, Mircea Sofonea, and Shengda Zeng SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1082-1107, January 2019. This paper is devoted to the study of a class of sweeping processes with history-dependent operators....

By Philippe Souplet SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 991-1013, January 2019. We consider radial decreasing solutions of the semilinear heat equation for subcritical, critical, and supercritical powers....

By William Borrelli, Raffaele Carlone, and Lorenzo Tentarelli SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1046-1081, January 2019. In this paper we study the nonlinear Dirac (NLD) equation on noncompact metric graphs with localized...

By Jian Song, Xiaoming Song, and Qi Zhang SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 955-990, January 2019. We study a class of backward doubly stochastic differential equations involving martingales with spatial parameters,...

By Chunpeng Wang and Zhouping Xin SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 1014-1045, January 2019. This paper concerns compressible subsonic jet flows for a given surrounding pressure from a two-dimensional finitely...

By Marco Cirant and Alessandro Goffi SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 913-954, January 2019. We establish existence and uniqueness of solutions to evolutive fractional mean field game systems with regularizing...

By Yaniv Almog, Leonid Berlyand, Dmitry Golovaty, and Itai Shafrir SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 873-912, January 2019. In this work, we consider a reduced Ginzburg--Landau model in which the magnetic field is neglected...

By Fioralba Cakoni, Houssem Haddar, and Armin Lechleiter SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 854-872, January 2019. We develop a factorization method to obtain an explicit characterization of a (possibly nonconvex) Dirichlet scattering...

By Ryunosuke Mori SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 820-853, January 2019. We consider a two-species competition-diffusion system involving a small parameter $\varepsilon>0$ and discuss the validity of...

By Charles Batty, Lassi Paunonen, and David Seifert SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 808-819, January 2019. We study the rate of energy decay for solutions of a coupled wave-heat system on a...

By David Krejčiřík SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 790-807, January 2019. We show that allowing magnetic fields to be complex-valued leads to an improvement in the magnetic...

By Elisa Davoli and Ulisse Stefanelli SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 672-730, January 2019. We present a novel variational approach to dynamic perfect plasticity. This is based on minimizing over...

By Xin Liu and Yuan Yuan SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 748-789, January 2019. In this paper we establish the local-in-time existence and uniqueness of strong solutions to the free...

By Antonino Morassi, Edi Rosset, and Sergio Vessella SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 731-747, January 2019. In this paper we consider the inverse problem of determining a rigid inclusion inside a thin...

By Yavar Kian and Eric Soccorsi SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 627-647, January 2019. We consider the inverse problem of determining the time- and space-dependent electromagnetic potential of the Schrödinger...

By Jianfeng Lu, Yulong Lu, and James Nolen SIAM Journal on Mathematical Analysis, Volume 51, Issue 2, Page 648-671, January 2019. We study an interacting particle system in $R^d$ motivated by Stein variational gradient descent [Q. Liu...

By Lili Fan, Lizhi Ruan, and Wei Xiang SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 595-625, January 2019. This paper is devoted to the study of the initial-boundary value problem on the half line...

By Riccardo Scala and Nicolas Van Goethem SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 489-531, January 2019. We study the graphs of maps $u:\Omega\rightarrow\Bbb R^3$ whose curl is an integral 1-current with coefficients...

By Hao-Guang Li and Chao-Jiang Xu SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 532-564, January 2019. In this work, we study the nonlinear spatially homogeneous Landau equation with Maxwellian molecules; by using...

By Pedro Aceves-Sanchez and Ludovic Cesbron SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 469-488, January 2019. This paper is devoted to the rigorous derivation of the macroscopic limit of a Vlasov--Fokker--Planck equation...

By Kotaro Hisa and Kazuhiro Ishige SIAM Journal on Mathematical Analysis, Volume 51, Issue 1, Page 565-594, January 2019. In this paper we obtain necessary conditions and sufficient conditions for the solvability of the problem...

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 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 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 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 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...

Jacob Bedrossian and Nader Masmoudi were awarded the 2019 SIAM Activity Group on Analysis of Partial Differential Equations Prize (SIAG/APDE Prize) for their paper, “Inviscid Damping and the ...

By Lina Sorg
Powdered milk is a manufactured dairy product formed by dehydrating regular milk to remove nearly all of the water content. Doing so preserves the product, greatly extends its ...

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

Established in 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.

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

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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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.

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

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

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

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

The prize 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 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 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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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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