Status:
- Statutory Professor in the Analysis of Partial Differential Equations
- Professorial Fellow of Keble College
- Director, Oxford Centre for Nonlinear Partial Differential Equations (OxPDE)
- Director, EPSRC Centre for Doctoral Training in Partial Differential Equations
Personal website:
+44 1865 615213 (PA)
ORCID iD:
https://orcid.org/0000-0001-5146-3839
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted Books:
The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures
ISBN-13: 9780691160559
(16 January 2018)
Full text available
Differential Geometry and Continuum Mechanics
Springer Proceedings in Mathematics and Statistics
volume 137
page VII-VII
(1 January 2015)
Hyperbolic Conservation Laws and Related Analysis with Applications
ISBN-13: 9783642390067
(7 February 2014)
Nonlinear Conservation Laws and Applications
ISBN-13: 9781441995537
(31 March 2011)
Stochastic Analysis and Partial Differential Equations
ISBN-13: 9780821840597
(May 2007)
Nonlinear Partial Differential Equations
ISBN-13: 9780821811962
(1999)
Highlighted Publications:
Cauchy Fluxes and Gauss–Green Formulas for Divergence-Measure Fields Over General Open Sets
Archive for Rational Mechanics and Analysis
(1 January 2019)
Stability of transonic shocks in steady supersonic flow past multidimensional wedges
ADVANCES IN MATHEMATICS
volume 314
page 493-539
(9 July 2017)
Full text available
Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow
Communications on Pure and Applied Mathematics
issue 11
volume 63
page 1469-1504
(1 November 2010)
Isometric immersions and compensated compactness
Communications in Mathematical Physics
issue 2
volume 294
page 411-437
(1 January 2010)
Global solutions of shock reflection by large-angle wedges for potential flow
Annals of Mathematics
issue 2
volume 171
page 1067-1182
(2010)
Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations
Proceedings of the American Mathematical Society
issue 9
volume 137
page 3003-3011
(1 September 2009)
Recent Publications:
Nonlinear Stability of Relativistic Vortex Sheets in Three-Dimensional Minkowski Spacetime
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
issue 2
volume 232
page 591-695
(May 2019)
Full text available
Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles
ADVANCES IN MATHEMATICS
volume 346
page 946-1008
(13 April 2019)
Full text available
Stability of steady multi-wave configurations for the full Euler equations of compressible fluid flow
Acta Mathematica Scientia
issue 5
volume 38
page 1485-1514
(1 September 2018)
Fluids, geometry, and the onset of Navier–Stokes turbulence in three space dimensions
Physica D: Nonlinear Phenomena
volume 376/377
page 23-30
(1 August 2018)
Global Existence and Regularity for the Active Liquid Crystal System
SIAM Journal on Mathematical Analysis
issue 4
volume 50
page 3632-3675
(10 July 2018)
Full text available
Vanishing Viscosity Approach to the Compressible Euler Equations for Transonic Nozzle and Spherically Symmetric Flows
Archive for Rational Mechanics and Analysis
volume 229
page 1239-1279
(3 April 2018)
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, other areas of mathematics and the other sciences. His recent research interests include nonlinear hyperbolic conservation laws, shock wave theory, PDEs of mixed type, free boundary problems, geometric problems, and other related nonlinear problems. His research interests also include measure-theoretical analysis, weak convergence methods, stochastic PDEs, statistical physics, and numerical analysis.
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: Mathemaitcal, 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/PhD Thesis Research Topics:
Some of them can be found on the Mathematics Genealogy Project