学术报告(姚珧 8.13)

发布人:周妍 发布日期:2018-07-19
活动时间
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学术报告(姚珧 8.13

 

题目:Finite time singularity of a vortex patch model in the half plane

主讲人:姚珧 助理教授(Georgia Institute of Technology

时间:2018813日上午10点至11

地点:数学楼416讲学厅

 

摘要:

The question of global regularity v.s. finite time blow-up remains open for many fluid equations. In this talk, I will discuss a family of equations which interpolate between the 2D Euler equation and the surface quasi-geostrophic (SQG) equation. We focus on the patch dynamics for this family of equation in the half-plane, and obtain the following results: For the 2D Euler patch model, the patches remain globally regular even if they initially touch the boundary of the half-plane; whereas for the family of equations that are slightly more singular than the 2D Euler equation, the patches can develop a finite-time singularity. This talk is based on a joint work with A. Kiselev, L. Ryzhik and A. Zlatos.

 

数学学院

2018813