报告人：王涛博士（武汉大学）

报告题目：Nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetime

报告摘要：We study vortex sheets for the relativistic Euler equations in three-dimensional Minkowski spacetime. A necessary and sufficient condition for the weakly linear stability is obtained by analyzing roots of the Lopatinskii determinant associated to the constant coefficient linearized problem. Under this stability condition, we prove the existence and nonlinear stability of relativistic vortex sheets by a Nash-Moser iterative scheme. This talk is based on a joint work with Prof. Gui-Qiang Chen (Oxford) and Prof. Paolo Secchi (Brescia).

报告人简介：王涛，武汉大学讲师，2015年博士毕业于武汉大学，师从赵会江教授和陈贵强教授。目前的主要研究兴趣为双曲守恒律中的自由边界问题及特征间断问题。近五年先后在 Mathematical Models and Methods in Applied Sciences、Journal of Differential Equations、Nonlinearity等国际主流数学杂志发表论文10余篇。

报告时间：2017年9月25日（星期一）下午4:00---5:00

报告地点：科技楼南702