On the concentrated vorticity in the incompressible Euler equation and 2-D capillary-gravity water waves

：王宇辰（华中师范大学）
：2022-12-08 15:00
：腾讯会议ID：852 727 978（无密码）

报告人：王宇辰（华中师范大学）

时  间：12月8日下午15:00-16:30

地  点：腾讯会议ID：852 727 978（无密码）

内容摘要:

In this talk, we shall focus on a special class of vortex structures in inviscid fluids called concentrated vorticity, in which the vortical domain is compactly supported in some small regions.  Through a perturbative argument, we prove the existence of steady solutions of the 2-D incompressible Euler equation which are highly concentrated near some given points, and obtain a more precise leading tern.  These solutions are locally unique with prescribed vortex profiles. Moreover, we study the local dynamics on vortex patches and obtain exponential trichotomy on the linearized patch dynamics. We shall also report some results on the 2-D capillary-gravity waves and gSQG equation.

个人简介：

王宇辰，现为华中师范大学数学统计学院博士后，2019年毕业于南开大学陈省身数学研究所，研究方向流体方程的动力学，相关研究工作在JDE和CVPDE等国际期刊上发表。

 

联系人：詹伟城