Time

Thur., 16:00-17:00

Oct. 24, 2024

Venue

Lecture Hall C548

Shuangqing Complex Building A

清华大学双清综合楼A座C548报告厅

Speaker

Shuang Miao 缪爽

Wuhan University

Shuang Miao obtained his PhD at the Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences. He is now a professor at Wuhan University. His research focuses on mathematical theory of nonlinear hyperbolic PDEs.

About the lecture

Well-posedness for fluid free boundary problems in general relativity

Abstract

In the framework of general relativity, the dynamics of a barotropic fluid are coupled to the Einstein equations, which govern the structure of the underlying spacetime. The free boundary problem of such models can describe the motion of isolated bodies in universe and appears in many physical contexts. In this talk I shall present our recent progress on well-posedness of such free boundary problems in Sobolev spaces. This talk is based on joint works with Sohrab Shahshahani, Zeming Hao and Wei Huo.