Time: 16:00-17:00 December 27, 2024 (Friday)
Venue: MCM110
Title: Classification of the analytic steady states of 2D Euler equation
Abstract: Classification of the steady states for 2D Euler equation is a classical topic in fluid mechanics. In this talk, we consider the rigidity of the analytic steady states in bounded simply-connected domains. By studying an over-determined elliptic problem in Serrin type, we show the stream functions for the steady state are either radial function or solutions to semi-linear elliptic equations. This is the joint work with Tarek Elgindi, Ayman Said and Chunjing Xie.
