Prof. Gui-Qiang G. Chen
PhD,MA,MSc,BSc,FAMS,FSIAM,FIMA,FEurAsc,MAE
Status
Academic Faculty
- Statutory Professor in the Analysis of Partial Differential Equations
- Professorial Fellow of Keble College
- Director, Oxford Centre for Nonlinear Partial Differential Equations (OxPDE)
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications
Recent Books:
- The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures, Research Monograph (Original Research), 832 pages, Princeton Math Series in Annals of Mathematics Studies, 197, Princeton University Press, January 2018 (with Mikhail Feldman).
- Free Boundary Problems and Related Topics, Theme Issue 2050, Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, Vol. 373, September 13, 2015 (with Henrik Shahgholian & Juan Luis Vázquez).
- Differential Geometry and Continuum Mechanics, Springer: Cham-Heidelberg-New York, 2015 (with Michael Grinfeld & Robin J. Knops).
- Hyperbolic Conservation Laws and Related Analysis with Applications, Springer-Verlag: Berlin-Heidelberg, 2014 (with Helge Holden & Kenneth. H. Karlsen).
- Entropy and Convexity for Nonlinear Partial Differential Equations, Theme Issue 2005, Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, Vol. 371, December 28, 2013 (with John M. Ball).
- Nonlinear Conservation Laws and Applications, Springer-Verlag: New York, 2011 (with Alberto Bressan, Marta Lewicka & Dehua Wang).
Recent Papers/Preprints:
Some of them can be found on arXiv: Gui-Qiang G. Chen, Google Scholar, and MathSciNet (license to MathSciNet is required)
Supervised DPhil/Ph.D. Thesis Research Topics:
Some of them can be found on the Mathematics Genealogy Project
Highlighted publications
Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density
Chen, G Wang, Y ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS volume 243 issue 3 1699-1771 (31 Jan 2022) Nonlinear anisotropic degenerate parabolic-hyperbolic equations with stochastic forcing
Chen, G Pang, P Journal of Functional Analysis 109222-109222 (01 Aug 2021) https://www.maths.ox.ac.uk/people/gui-qiang.chen Convexity of self-similar transonic shocks and free boundaries for the Euler equations for potential flow
Chen, G Feldman, M Xiang, W Archive for Rational Mechanics and Analysis volume 238 issue 1 47-124 (12 Jun 2020) Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow
Chen, G Perepelitsa, M Communications on Pure and Applied Mathematics volume 63 issue 11 1469-1504 (01 Nov 2010) Global solutions of shock reflection by large-angle wedges for potential flow
Chen, G Feldman, M Annals of Mathematics volume 171 issue 2 1067-1182 (2010) Isometric immersions and compensated compactness
Chen, G Slemrod, M Wang, D Communications in Mathematical Physics volume 294 issue 2 411-437 (01 Jan 2010) Preferred address
Highlighted books
Differential Geometry and Continuum Mechanics
Chen, G Grinfeld, M Knops, R volume 137 (01 Jan 2015) Recent publications
Two-Dimensional Riemann Problems: Transonic Shock Waves and Free Boundary Problems
Chen, G COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION volume 5 issue 3 1015-1052 (2023) https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000905524100002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e Partial Differential Equations of Mixed Type —Analysis and Applications
Chen, G Notices of the American Mathematical Society volume 70 issue 1 8-23 (01 Jan 2023) L1-STABILITY OF VORTEX SHEETS AND ENTROPY WAVES IN STEADY SUPERSONIC EULER FLOWS OVER LIPSCHITZ WALLS
Chen, G Kukreja, V DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS volume 43 issue 3-4 1239-1268 (2023) https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000853215800001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e MINIMAL ENTROPY CONDITIONS FOR SCALAR CONSERVATION LAWS WITH GENERAL CONVEX FLUXES
Cao, G Chen, G QUARTERLY OF APPLIED MATHEMATICS (2023) https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000977407100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e Global entropy solutions and Newtonian limit for the relativistic Euler equations
Chen, G Schrecker, M Annals of PDE volume 8 issue 1 (12 May 2022) Vanishing viscosity limit of the three-dimensional barotropic compressible Navier-Stokes equations with degenerate viscosities and far-field vacuum
Chen, G Zhu, S Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire volume 39 issue 1 121-170 (01 Feb 2022) Research interests
Gui-Qiang G. Chen's main research areas lie in partial differential equations (PDEs), nonlinear analysis, and their connections/applications to mechanics, geometry, and other areas of mathematics and science. His recent research interests include nonlinear hyperbolic conservation laws, shock wave theory, nonlinear PDEs of mixed type, and related free boundary problems, singular limit problems, nonlinear stability/instability problems, weak convergence methods, and other nonlinear problems/methods. His research interests also include measure-theoretical analysis, geometric PDEs, stochastic PDEs, statistical physics, and numerical analysis.