学术报告
Weak Continuity and Compactness for Nonlinear Partial Differential Equations
题目:Weak Continuity and Compactness for Nonlinear Partial Differential Equations
报告人: Prof. Gui-Qiang G. Chen
(University of Oxford)
摘要: 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). Further trends and open problems in this direction will also be addressed.
时间:6月29日(周一)下午16:00-17:00
地点:首都师大北二区教学楼 515 教室
欢迎全体师生积极参加!