Symmetry of Euler flows in cylinders and annuli
数学专题报告
报告题目(Title)： Symmetry of Euler flows in cylinders and annuli
报告人(Speaker)：Francois Hamel (Aix-Marseille Universite)
地点(Place)：ZOOM ID: 929 2091 1866 PWD：610142
时间(Time)：2025年 10月 16日 （周四）16：00-17：00
邀请人(Inviter)：熊金钢
报告摘要
In this talk, I will discuss some rigidity results for steady incompressible flows away from stagnation in infinite cylinders with tangential boundary conditions. In two-dimensional strips, Euler flows turn out to be parallel flows. In any dimension, Euler or Navier-Stokes potential flows turn out to be constant. I will also discuss various counter-examples without the main assumptions. The case of flows in two-dimensional annuli will also be discussed. The proofs rely on the study of the geometric properties of the streamlines and a combination of ODE and PDE arguments. The talk is based on some joint works with A. Karakhanyan and N. Nadirashvili.
* 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
