Editor-in-Chief: Zhitao Zhang
ISSN: 2662-2963
(print version)
ISSN: 2662-2971
(electronic version)
Journal no. 42985
Editor-in-Chief
Zhitao Zhang
Academy of Mathematics & Systems Science
The Chinese Academy of Sciences
No.55, Zhongguancun East Road
Beijing, 100190, P. R. China
Areas of expertise: Variational and topological methods; elliptic and parabolic PDEs
Section Editor: Theory of PDEs
Eduardo Teixeira
Department of Mathematics
University of Central Florida
4393 Andromeda Loop N.
Orlando, FL, USA 32816
Areas of expertise: Elliptic and parabolic PDEs; free boundary problems; harmonic analysis; geometric measure theory
Section Editor: Computational Approaches
Siddhartha Mishra
Department of Mathematics
ETH Zürich
Rämistrasse 101
8092 Zürich, Switzerland
Areas of expertise: Numerical Analysis; scientific computing; nonlinear PDEs; computational fluid dynamics
Section Editor: Applications of PDEs
Hyeonbae Kang
Department of Mathematics
Inha University
100 Inha-ro, Michuhol-gu
Incheon 22212, S. Korea
Areas of expertise: Spectral theory; inverse problems; imaging
Editorial Board
Alain Goriely (Oxford, UK)
Discrete and continuum mechanics; mathematical engineering; mathematical biology
Arnulf Jentzen (ETH Zurich, Switzerland)
Numerical analysis for high-dimensional PDEs; Mathematics for deep learning; Computational stochastics; Computational finance; Optimal control
Chi-Wang Shu (Providence, RI, USA)
Numerical analysis; computational fluid dynamics
Claudio Munoz (Santiago, Chile)
Dispersive PDEs
Diogo Gomes (KAUST, Saudi Arabia)
Mean-field games; Hamilton-Jacobi equations; Viscosity Solutions
Felipe Linares (Rio de Janeiro, Brazil)
Dispersive PDEs
Habib Ammari (Zürich, Switzerland)
Inverse problems, imaging
Helena Nussenzveig Lopes (Rio de Janeiro, Brazil)
Fluid dynamics
Jiayu Li (Beijing, China)
Geometric analysis
Kanishika Perera (Melbourne, FL, USA)
Elliptic PDEs; critical point theory; free boundary problems
Karsten Urban (Ulm, Germany)
Numerical analysis; wavelets; reduced order methods
Kazuhiro Ishige (Tokyo, Japan)
Parabolic PDEs
Lin Lin (Berkeley, CA, USA)
Quantum chemistry; electronic structure; DFT
Marie Rognes (Oslo, Norway)
Numerical analysis; finite element methods; scientific computing software; solid mechanics; neuroscience
Marie-Therese Wolfram (Warwick, UK)
Mathematical modeling in socio-economic applications and life sciences; numerical analysis
Milton Jara (Rio de Janeiro, Brazil)
Stochastic PDEs
Mouhamed Moustapha Fall (Mbour, Senegal)
Elliptic PDEs; geometric analysis
Raymond Chan (Hong Kong)
Numerical analysis; numerical linear algebra; image processing
Senjo Shimizu (Kyoto, Japan)
Fluid dynamics
Seung-Yeal Ha (Seoul, South Korea)
Applied analysis; collecitve dynamics; hyperbolic conservation laws, kinetic theory
Tohru Ozawa (Tokyo, Japan)
Mathematical physics
Verena Bögelein (Salzburg, Austria)
Parabolic PDEs
Guofang Wang (Freiburg, Germany)
Geometric analysis
Zhi-Qiang Wang (Logan, UT, USA)
Nonlinear PDEs; Hamiltonian systems; variational and topological methods
Xingbin Pan (Shanghai, China)
Elliptic equations; calculus of variations; superconductivity; liquid crystals and electromagnetism
Yihong Du (Armidale, Australia)
Elliptic and parabolic PDEs; mathematical biology; chemical reaction theory
Zongming Guo (Xinxiang, China)
Elliptic PDEs
SN Partial Differential Equations and Applications (SN PDE) offers a single platform for all PDE-based research, bridging the areas of Mathematical Analysis, Computational Mathematics and applications of Mathematics in the Sciences. It thus encourages and amplifies the transfer of knowledge between scientists with different backgrounds and from different disciplines who study, solve or apply the same types of equations. SN PDE accepts both original research as well as review articles of high quality, providing thorough and fast peer-review.
The journal is organized in three sections:
Theory of PDEs
Covering topics in elliptic, parabolic and hyperbolic PDEs, PDEs on manifolds, fractional PDEs, calculus of variations, functional analysis, ODEs and a range of further topics from Mathematical Analysis.
Computational approaches to PDEs
Covering all areas in Numerical Analysis and Computational Mathematics with relation to PDEs. Here the main emphasis is on the numerical method, rather than the particular application.
Applications of PDEs in the sciences
Covering applications in Mathematical Physics, Chemistry, Biology, Engineering, and also in the Life- and Social-Sciences. Both analytic and computational methods are welcome.
As a bridge between the different communities, the journal further invites dedicated Knowledge Transfer Papers: These may be interdisciplinary review papers highlighting different perspectives on the same type of equation, discussions of open problems and challenges in one community inviting research activity from another, and reviews of recent results written for non-experts amplifying the dissemination of knowledge.
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