Title
Classification of the analytic steady states of 2D Euler equation
Abstract
The topological behaviours of generic steady states of 2D Euler equations are closely related to the long-time behaviours of solutions. 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 functions or solutions to semi-linear elliptic equations. In the end, if time permits, I will mention an application of our result. This is the joint work with Tarek Elgindi, Ayman Said and Chunjing Xie.
Please note that the seminar will take place in person in room 140 of Huxley Building.