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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 (Statutory Chair)

- Professorial Fellow of Keble College

- Director, Oxford Centre for Nonlinear Partial Differential Equations (OxPDE)

 

+44 (0)1865 615234 (PA: Ariana Weldon)
Contact form
http://people.maths.ox.ac.uk/chengq/
CV
ORCID iD
https://orcid.org/0000-0001-5146-3839
Research groups
  • Oxford Centre for Nonlinear PDE
Address
Mathematical Institute
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).
  • Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems, Research Monograph (Original Research), 237 pages, Memoirs of the American Mathematical Society, 301, no. 1507, AMS: Providence, 2024 (with Myoungjean Bae and 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 two-dimensional Riemann problem with four-shock interactions for the Euler equations of potential flow
Chen, G Cliffe, A Huang, F Liu, S Wang, Q Journal of the European Mathematical Society (14 Apr 2025)
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)
Global solutions of the compressible euler-poisson equations with large initial data of spherical symmetry
Chen, G He, L Wang, Y Yuan, D Communications on Pure and Applied Mathematics volume 77 issue 6 2861-3140 (13 Nov 2023)
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

@email

Prizes, awards, and scholarships

The 2024 Polya Prize (LMS, 2024),  Doctor of Science (Oxford, 2024),  Member of Academia Europaea (2022), Member of the European Academy of Sciences (2020), Fellow of the American Mathematical Society (2017),  Fellow of the Institute of Mathematics and its Applications (2014), Fellow of the Society for Industrial and Applied Mathematics (2013),  The SIAG/Analysis of Partial Differential Equations Prize (SIAM, 2011),  Royal Society-Wolfson Research Merit Award (2009),  Alexander von Humboldt Foundation Fellow (2003),  Alfred P. Sloan Foundation Fellow (1991), Chinese National Prize of Sciences (1990), Chinese Academy of Sciences Award in Mathematics (1989).

Highlighted books
Prandtl-Meyer reflection configurations, transonic shocks, and free boundary problems Chen, G Bae, M Feldman, M (23 Sep 2024)
The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures Chen, G Feldman, M (01 Nov 2017)
Differential Geometry and Continuum Mechanics
Chen, G Grinfeld, M Knops, R volume 137 (01 Jan 2015)
Hyperbolic Conservation Laws and Related Analysis with Applications Chen, G Holden, H Karlsen, K (07 Feb 2014)
Nonlinear Conservation Laws and Applications Bressan, A Chen, G Lewicka, M Wang, D (31 Mar 2011)
Stochastic Analysis and Partial Differential Equations Chen, G Hsu, E Pinsky, M (May 2007)
Recent publications
On Inverse Problems for Two-Dimensional Steady Supersonic Euler Flows past Curved Wedges
Chen, G Pu, Y Zhang, Y Inverse Problems (04 Apr 2025)
Convergence rate of the hypersonic similarity for two-dimensional steady potential flows with large data
Chen, G Kuang, J Xiang, W Zhang, Y Nonlinearity volume 38 issue 4 045013 (13 Mar 2025)
Global solutions of the compressible Euler–Poisson equations for plasma with doping profile for large initial data of spherical symmetry
Chen, G He, L Wang, Y Yuan, D SIAM Journal on Mathematical Analysis volume 57 issue 2 1227-1279 (03 Mar 2025)
Global Existence and Nonlinear Stability of Finite-Energy Solutions of
the Compressible Euler-Riesz Equations with Large Initial Data of Spherical
Symmetry
Carrillo, J Charles, S Chen, G Yuan, D (18 Feb 2025) http://arxiv.org/abs/2502.13094v1
Global solutions of the one-dimensional compressible Euler equations with nonlocal interactions via the inviscid limit
Carrillo, J Chen, G Yuan, D Zatorska, E Archive for Rational Mechanics and Analysis volume 249 issue 3 (12 Feb 2025)
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)
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.

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