Title: Weak Continuity and Compactness for Nonlinear Partial Differential Equations
Speaker: Gui-Qiang Chen
Speaker Info: University of Oxford
Brief Description:
Special Note:
Abstract:
In this talk we will discuss some recent developments in the analysis of several longstanding problems involving weak continuity and compactness for fundamental nonlinear partial differential equations in mechanics and geometry. In particular, these problems include the inviscid limit of the compressible Navier-Stokes equations to the Euler equations, the construction of global entropy solutions of spherically symmetric solutions to the multidimensional compressible Euler equations, the construction of stochastic entropy solutions to the isentropic Euler equations with random forcing terms, the sonic-subsonic limit of approximate solutions to multidimensional steady Euler equations, and the rigidity of isometric embeddings (weak continuity of the Gauss-Coddazi-Ricci equations).Date: Monday, March 16, 2015