题目：Long time dynamics of 2d Euler equation and nonlinear inviscid damping

报告人：郏浩 (University of Minnesota)

时间：6月7日周一上午10:10-11:10

地点：Zoom会议ID：7361907370 密码:122595

摘要：It is well known that the incompressible 2d Euler equation is globally well posed for smooth initial data. The long time behavior of smooth solutions is however very difficult to understand, due to the lack of global relaxation mechanism. An important conjecture predicts that for generic solutions the vorticity field weakly but not strongly converges, as time goes to infinity. In this talk, I will focus on the simpler problem of nonlinear asymptotic stability of monotone shear flows in a channel, where the dynamics can be described precisely and are consistent with the conjectured behavior. The main mechanism for stabilization is nonlinear inviscid damping. This is based on joint work with Alex Ionescu.