Nonlinear Evolution Equations and Related Topics

March 11 (Mon)　11:00--11:50

Speaker

Pin Yu　(Tsinghua University)

Title

Shock formations for 3 dimensional wave equations

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 non-spherical-symmetric large smooth initial data leading to breakdown of smoothness of the solution. The work combines the ideas from the analysis of shock formations for compressible Euler equations and from the study of black hole formations in general relativity.