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 Related Conferences

Upcoming Related Conferences

SIAM Conference on Analysis of Partial Differential Equations (PD19)

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

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 Dan Wilson and Bard Ermentrout SIAM Review, Volume 61, Issue 2, Page 277-315, January 2019. While phase reduction is a tremendously useful tool for understanding the dynamics of weakly perturbed limit cycle oscillators,...

By Bernhard Beckermann and Alex Townsend SIAM Review, Volume 61, Issue 2, Page 319-344, January 2019. Matrices with displacement structure, such as Pick, Vandermonde, and Hankel matrices, appear in a diverse range of applications. In...

By Samuel Awoniyi and Ira Wheaton SIAM Review, Volume 61, Issue 2, Page 347-360, January 2019. This education article presents a case for first courses on Markov chain modeling to include the topic “sojourn time...

By Guodong Shi, Claudio Altafini, and John S. Baras SIAM Review, Volume 61, Issue 2, Page 229-257, January 2019. A signed network is a network in which each link is associated with a positive or negative sign....

By Richard D. Neidinger SIAM Review, Volume 61, Issue 2, Page 361-381, January 2019. Techniques of univariate Newton interpolating polynomials are extended to multivariate data points by different generalizations and practical algorithms. ...

By Beate Ehrhardt and Patrick J. Wolfe SIAM Review, Volume 61, Issue 2, Page 261-276, January 2019. We characterize the large-sample properties of network modularity in the presence of covariates, under a natural and flexible null...

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 Misha E. Kilmer SIAM Review, Volume 61, Issue 2, Page 259-259, January 2019. The paper “Network Modularity in the Presence of Covariates," by Beate Ehrhardt and Patrick J. Wolfe, is the first...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 2, Page 345-346, January 2019. This issue of SIAM Review contains two papers in the Education section. The first paper is “Case for First...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 2, Page 227-227, January 2019. ``Dynamics over Signed Networks,” by Guodong Shi, Claudio Altafini, and John S. Baras, is the Survey and Review article...

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 Dan Wilson and Bard Ermentrout SIAM Review, Volume 61, Issue 2, Page 277-315, January 2019. While phase reduction is a tremendously useful tool for understanding the dynamics of weakly perturbed limit cycle oscillators,...

By Bernhard Beckermann and Alex Townsend SIAM Review, Volume 61, Issue 2, Page 319-344, January 2019. Matrices with displacement structure, such as Pick, Vandermonde, and Hankel matrices, appear in a diverse range of applications. In...

By Samuel Awoniyi and Ira Wheaton SIAM Review, Volume 61, Issue 2, Page 347-360, January 2019. This education article presents a case for first courses on Markov chain modeling to include the topic “sojourn time...

By Guodong Shi, Claudio Altafini, and John S. Baras SIAM Review, Volume 61, Issue 2, Page 229-257, January 2019. A signed network is a network in which each link is associated with a positive or negative sign....

By Richard D. Neidinger SIAM Review, Volume 61, Issue 2, Page 361-381, January 2019. Techniques of univariate Newton interpolating polynomials are extended to multivariate data points by different generalizations and practical algorithms. ...

By Beate Ehrhardt and Patrick J. Wolfe SIAM Review, Volume 61, Issue 2, Page 261-276, January 2019. We characterize the large-sample properties of network modularity in the presence of covariates, under a natural and flexible null...

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 Misha E. Kilmer SIAM Review, Volume 61, Issue 2, Page 259-259, January 2019. The paper “Network Modularity in the Presence of Covariates," by Beate Ehrhardt and Patrick J. Wolfe, is the first...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 2, Page 345-346, January 2019. This issue of SIAM Review contains two papers in the Education section. The first paper is “Case for First...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 2, Page 227-227, January 2019. ``Dynamics over Signed Networks,” by Guodong Shi, Claudio Altafini, and John S. Baras, is the Survey and Review article...

By Volker H. Schulz SIAM Review, Volume 61, Issue 2, Page 385-400, January 2019. Sometimes, people confuse artificial neural networks (ANNs) with real biological brains, at least metaphorically. The section starts with a...

By The Editors SIAM Review, Volume 61, Issue 2, Page 317-317, January 2019. The SIGEST article in this issue is “Bounds on the Singular Values of Matrices with Displacement Structure,” by Bernhard...

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 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...

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