报告题目：The dynamics of singularity for the Born-Infeld equation

报告时间：1月20日上午10:50-11:30

报告地点：腾迅会议 ID: 296 241 702

报告人：闫卫平 副教授 厦门大学

报告人简介：

厦门大学数学科学学院副教授，2011年博士毕业于吉林大学，然后在北京大学国际数学研究中心从事博士后研究。研究方向为微分方程与动力系统。在包括Calc. Var. PDE, J. Geometric. Analysis, Nonlinearity，J. Differential. Equations. 等期刊发表SCI论文30余篇。

报告摘要：

In this talk, we introdce the dynamical behavior near a new family of explicit self-similar solutions for the one dimensional Born-Infeld equation. This quasilinear scalar field equation arises from nonlinear electromagnetism, as well as branes in string theory and minimal surfaces in Minkowski spacetimes. We show that both this model and the linear wave equation admit the same family of explicit timelike self-similar blow up solutions, meanwhile, Lyapunov nonlinear stability of those self-similar blow up solutions are given inside a strictly proper subset of the backward light cone.