Academics

Well-posedness for fluid free boundary problems in general relativity

Time:Thur., 16:00-17:00 Oct. 24, 2024

Venue:Lecture Hall C548 Shuangqing Complex Building A

Speaker:Shuang Miao

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.

DATEOctober 22, 2024
SHARE
Related News
    • 0

      Gravity: bulk, boundary, corners

      AbstractI will review four-dimensional gravity in the coframe-and-connection formulation (a.k.a. Palatini–Cartan formalism) and what it entails on boundaries (e.g., on Cauchy surfaces) and on corners (e.g., surfaces at infinity or surfaces around singularities in space). This full analysis will require the BV, the BFV and related formalisms and their interplay.About the speakerAlberto Cattaneo...

    • 1

      General behavior ofarea-minimizing subvarieties

      AbstractWe will review some recent progress on the general geometric behavior of homologically area-minimizing subvarieties, namely, objects that minimize area with respect to homologous competitors. They are prevalent in geometry, for instance, as holomorphic subvarieties of a Kahler manifold, or as special Lagrangians on a Calabi-Yau, etc. A fine understanding of the geometric structure of ho...