Generalised and Low-Regularity Solutions of Nonlinear Partial Differential Equations
Lead Research Organisation:
University of Oxford
Department Name: Mathematical Institute
Abstract
Abstracts are not currently available in GtR for all funded research. This is normally because the abstract was not required at the time of proposal submission, but may be because it included sensitive information such as personal details.
Organisations
People |
ORCID iD |
| Gui-Qiang George Chen (Principal Investigator) |
Publications
Cao G
(2023)
Minimal entropy conditions for scalar conservation laws with general convex fluxes
in Quarterly of Applied Mathematics
Chen G
(2023)
Partial Differential Equations of Mixed Type-Analysis and Applications
in Notices of the American Mathematical Society
Chen G
(2022)
Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density
in Archive for Rational Mechanics and Analysis
Chen G
(2021)
Nonlinear anisotropic degenerate parabolic-hyperbolic equations with stochastic forcing
in Journal of Functional Analysis
Chen G
(2022)
Vanishing viscosity limit of the three-dimensional barotropic compressible Navier-Stokes equations with degenerate viscosities and far-field vacuum
in Annales de l'Institut Henri Poincaré C, Analyse non linéaire
Chen G
(2022)
Two-Dimensional Riemann Problems: Transonic Shock Waves and Free Boundary Problems
in Communications on Applied Mathematics and Computation
Chen G
(2022)
On asymptotic rigidity and continuity problems in nonlinear elasticity on manifolds and hypersurfaces
in Journal de Mathématiques Pures et Appliquées
Chen G
(2022)
Multidimensional transonic shock waves and free boundary problems
in Bulletin of Mathematical Sciences
| Description | PDE Workshop in Stability Analysis for Nonlinear PDEs, Monday 15th - Friday 19th August 2022 |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | We brought together leading experts in the stability analysis of nonlinear partial differential equations across multi-scale applications. Some of the topics to be addressed include: Stability analysis of shock wave patterns of reflections/diffraction. Stability analysis of vortex sheets, contact discontinuities, and other characteristic discontinuities for multidimensional hyperbolic systems of conservation laws. Stability analysis of particle to continuum limits including the quantifying asymptotic/mean-field/large-time limits for pairwise interactions and particle limits for general interactions among multi-agent systems Stability analysis of asymptotic limits with emphasis on the vanishing viscosity limit of solutions from multidimensional compressible viscous to inviscid flows with large initial data. |
| Year(s) Of Engagement Activity | 2022 |
| URL | https://www.maths.ox.ac.uk/node/60407 |