The Hawking mass is one of the important notions of mass in general relativity. We study the L2-gradient flow of the Hawking mass functional, which we will call the Hawking flow for short, on a closed surface in an asymptotically flat Riemannian 3-manifold. A highly related functional is the Willmore energy functional. Thus to begin with, we will first review the results developed for the L2-gradient flow of the Willmore energy functional, which is commonly known as the Willmore flow, on a closed surface in R3. We will sketch the proof for the longtime existence of the solution to the Willmore flow, with the main focus on developing the higher order estimates. Then, we shall discuss the difference between the two flows and the modifications required to establish the longtime existence for the Hawking flow.
5月22日
10:00am - 11:00am

地点
http://hkust.zoom.us/j/3548208335
讲者/表演者
Mr. Nicholas Cheng Hoong CHIN
HKUST
HKUST
主办单位
Department of Mathematics
联系方法
mathseminar@ust.hk
付款详情
对象
Alumni, Faculty and Staff, PG Students, UG Students
语言
英语
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