题目:  Some Liouville Type Theorems for The 2D Incompressible Euler Equations

摘要: 

In this talk, we will focus on Liouville theorems and the classification of solutions for the 2D incompressible Euler equations. We will present several Liouville-type results for steady Euler flows. Specifically, we prove that steady Euler flows in a disk with exactly one interior stagnation point and tangential boundary conditions must be circular flows. Moreover, we show that for steady Euler flows in annuli with tangential boundary conditions, they must be circular flows provided there are no stagnation points inside. Additionally, we will discuss some rigidity results concerning steady Euler flows under no-slip boundary conditions. This talk is based on a joint paper with Yuchen Wang.

报告人：

詹伟城，男，厦门大学数学科学学院副教授。主要从事流体力学中偏微分方程相关问题的研究，相关成果发表在SIMA、TAMS、JFA、CVPDE、IMRN、JDE、中国科学等学术期刊。

时间：2024年6月24日（周一）14:00-15:00

地点：中心校区知新楼B1032

邀请人：陶涛