中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

偏微分方程研讨班

Speaker: 郏浩 教授 （University of Minnesota) 

Inviter: 张平 院士

Language: Chinese

Title:Recent results on the vortex symmetrization problem

Time&Venue: 2025年6月25日（星期三）15:00-16:00

& 南楼N913

Abstract: Vortices are steady states, with radial vorticity distribution, to the two dimensional incompressible Euler equation, which occur very often in fluid dynamics and may become the dominant feature of slightly viscous flows. Numerical simulations and physical experiments show that small perturbations of vortices are ``symmetrized", leading to weak convergence to another vortex. Mathematically, the main mechanisms for symmetriztion of vortices is inviscid damping and vorticity depletion. In this talk, we will introduce the physical background, related linear and nonlinear asymptotic stability results, and explain the remaining major difficulties in fully establishing vortex symmetrization.