郝成春的个人主页 | Chengchun HAO's Homepage
研究员、博士生导师,中国科学院数学与系统科学研究院 数学研究所 | Professor, Institute of Mathematics, AMSS, CAS
中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
题目/Title: Weak Continuity and Compactness for Nonlinear Partial Differential Equations
报告人:Professor Gui-Qiang G. Chen (University of Oxford, UK)
时间:2014年7月29日(星期二)下午4:00-5:00
地点:南楼 N902
摘要: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, the rigidity of isometric embeddings and weak continuity of the Gauss-Coddazi-Ricci equations. This talk will be based mainly on the joint work correspondingly with F.-M. Huang, M. Perepelitsa, M. Slemrod, D. Wang, and T.-Y. Wang.
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