Prof. Gui-Qiang G. Chen
DSc,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
A principle of maximum entropy for the Navier–Stokes equations
Chen, G Glimm, J Said, H Physica D Nonlinear Phenomena volume 467 134274 (01 Nov 2024) Global Spherically Symmetric Solutions of the Multidimensional Full Compressible Navier–Stokes Equations with Large Data
Chen, G Huang, Y Zhu, S Archive for Rational Mechanics and Analysis volume 248 issue 6 (22 Oct 2024) Hypersonic similarity for steady compressible full Euler flows over two-dimensional Lipschitz wedges
Chen, G Kuang, J Xiang, W Zhang, Y Advances in Mathematics volume 451 (27 Jun 2024) Global solutions of the one-dimensional compressible Euler equations
with nonlocal interactions via the inviscid limit
Carrillo, J Chen, G Yuan, D Zatorska, E (13 Mar 2024) http://arxiv.org/abs/2403.08576v1 with nonlocal interactions via the inviscid limit
Global finite-energy solutions of the compressible Euler–Poisson equations for general pressure laws with large initial data of spherical symmetry
Chen, G Huang, F Li, T Wang, W Wang, Y Communications in Mathematical Physics volume 405 issue 3 (12 Mar 2024) Isothermal limit of entropy solutions of the Euler equations for isentropic gas dynamics
Chen, G Huang, F Wang, T SIAM Journal on Mathematical Analysis volume 56 issue 1 1300-1320 (08 Feb 2024) 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.