Long time dynamics and stability of multi-vortex solution
数学专题报告
报告题目(Title)：Long time dynamics and stability of multi-vortex solution
报告人(Speaker)：In-Jee Jeong (Seoul National University)
地点(Place)：ZOOM ID: 966 2308 3524 PWD：054468
时间(Time)：2025 年 9月 12日 （周五）9：30-10：30
邀请人(Inviter)：熊金钢
报告摘要
Classical variational approach of maximizing the kinetic energy with various constraints provides vortex stability in several special cases, but in general this approach fails when the vorticity is concentrated at several points in the fluid domain. This is simply because such configurations are not local kinetic energy maximizers, even when we restrict the admissible class using all the other coercive conserved quantities of fluid motion. In this talk, we present several results on the stability of multi-vortex solutions, obtained by combining classical variational approaches with dynamical bootstrapping schemes. We focus on the case of multiple Lamb dipoles weakly interacting with each other. This is based on joint works with Ken Abe, Kyudong Choi, and Yao Yao.
* This PDE seminar is co-organized with Tianling Jin at HKUST and Juncheng Wei at CUHK. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
