Speaker

Miao Shuang,University of Michgan, USA  

　　Title

Shock formations for 3-dimensional wave equations                     

　　Time

　　Venue

Morningside 410 

　　Abstract

In this talk I shall present a geometric perspective on shock formations for a class of quasilinear wave equations which admit global smooth solutions with small data. We exhibit a family of smooth initial data leading to breakdown of smoothness of the solution. The work comines the ideas from fluid mechanics e.g. shock formation for Euler equations and from general relativity e.g. nonlinear stability of Minkowski space and formation of trapped surfaces. This is a joint work with Pin Yu.

　　Affiliation