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.

Personal Website：https://maths.whu.edu.cn/info/1296/12846.htm