- Professorial Fellow of Keble College
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
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)
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)
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)
Convexity of self-similar transonic shocks and free boundaries for the Euler equations for potential flow
Archive for Rational Mechanics and Analysis issue 1 volume 238 page 47-124 (12 June 2020)
Stability of Multidimensional Thermoelastic Contact Discontinuities
Archive for Rational Mechanics and Analysis (22 May 2020)
Loss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow
SIAM Journal on Mathematical Analysis issue 2 volume 52 page 1096-1114 (12 March 2020)
Traces and extensions of bounded divergence-measure fields on rough open sets
Indiana University Mathematics Journal issue 1 volume 69 page 229-264 (2020)
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 issue 15 December 2019 volume 400 page 132138- (14 June 2019)
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:
- 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).
Supervised DPhil/Ph.D. Thesis Research Topics:
Some of them can be found on the Mathematics Genealogy Project