学术报告会：Asymptotic stability of the timelike extremal hypersurfaces with the lightlike singularity in Minkowski space

报告题目：Asymptotic stability of the timelike extremal hypersurfaces with the lightlike singularity in Minkowski space

报 告 人：闫卫平  （广西大学   博导/教授）

报告时间：2021年10月30日晚上19:00

腾讯会议ID： 382 817 9617

个人简介：

闫卫平，广西大学数学与信息科学学院教授，博士生导师，研究方向为微分方程与动力系统。在包括Calc. Var. PDE, J. Geometric.Analysis, Nonlinearity, Bulletin. Math. Sci, J. Differential. Equations等期刊发表SCI论文30余篇。美国数学会《Mathematical Reviews》评论员，主持完成多项国家级和省部级自然科学基金项目。

摘要：In this talk, we concern with the singularity phenomenon of timelike extremal hypersurfaces in Minkowski spacetime.The typical explicit example of timelike extremal hypersurfaces with lightlike singularities is the self-similar spheres.It begins to expand until it starts to shrink and eventually collapses to a point in a finite time. We show that this singularity phenomenon is nonlinearly stable in the backward lightcone.