## 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: Anwen Amos)

## 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
(27 February 2018)

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)

## Highlighted Publications:

Nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetime

Archive for Rational Mechanics and Analysis
issue 2
volume 232
page 591–69-
(29 October 2018)

Stability of transonic shocks in steady supersonic flow past multidimensional wedges

Advances in Mathematics
volume 314
page 493–539-
(7 June 2017)

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:

Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing

Chinese Annals of Mathematics. Series B
issue 6
volume 40
page 967-1004
(1 November 2019)

Kolmogorov-type theory of compressible turbulence and inviscid limit of the Navier–Stokes equations in
ℝ³

Physica D: Nonlinear Phenomena
volume 400
page 132138-
(14 June 2019)

Steady euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles

Advances in Mathematics
volume 346
page 946-1008
(19 February 2019)

Cauchy fluxes and Gauss–Green formulas for divergence-measure fields over general open sets

Archive for Rational Mechanics and Analysis
issue 1
volume 233
page 87–166-
(22 January 2019)

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)

## 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.

## 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