University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Gui-Qiang G. Chen's main research areas lie in nonlinear 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:
- Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures, Research Monograph, 750 pages, 2015 (to appear) (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).