武汉大学数学与统计学院06月02日——06月08日学术报告通知一览

06.02

On Kerr Black Hole Formation and a New Approach Toward Penrose Inequality

报告人：安歆亮  教授（新加坡国立大学）

报告时间：2026年06月02日 10:00--11:00

报告地点：数学与统计学院A644报告厅

报告摘要:

Black hole formation is a central question in mathematical general relativity, involving nonlinear wave equations, geometric analysis, and mathematical physics. In this talk I will present a recent joint work with Taoran He. For the 3+1 dimensional Einstein vacuum equations, we extend Christodoulou’s celebrated trapped surface formation theorem to a black hole formation result. Without time-symmetric assumption, we further introduce a new approach and prove the spacetime Penrose inequality in perturbative regimes of sub-extremal Kerr black holes.

06.04

Stability of viscous shock waves for Burgers equation with double singularities in viscosity and flux

报告人：梅茗 教授（江西师范大学）

报告时间：2026年06月01日 16:00--17:00

报告地点：数学与统计学院B201报告厅

报告摘要:

This talk is concerned with Burgers equation with singular viscosity and singular flux. We realize that, when the singularity for flux is less than the singularity of viscosity, there exists smooth viscous shock wave, otherwise the shock wave does not exist. The main issue is to show the stability of these shock waves. To overcome the singularities caused by viscosity and flux, we use the weighted energy method, where the selection of weights are technical and play a crucial role in the proof. This talk is based on a series of studies joint with Dr. Xiaowen Li, Prof. Jingyu Li, Prof. Jean-Christophe Nave, Prof. Wancheng Sheng, and Dr. Shufang Xu.