中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人： 罗肖雨滔  博士（Institute for advanced study）

题  目：Nonuniqueness and illposedness of incompressible fluid equations

时  间：2022.07.04（星期一），09:00-10:00

地  点：数学院南楼N204室

Zoom会议：412 019 4771  密码：mcm1234

摘  要：In this talk, I will present results on the nonuniqueness and ill-posedness of weak solutions of incompressible fluid flows. First, we focus on the Navier-Stokes equations and the linear transport equations, where the nonuniqueness emerges due to a lack of regularity and is sharp in terms of scaling. And then we consider the vortex patch problem of the 2D Euler equations and show that it is ill-posed at the end-point Sobolev/Holder spaces. Based on joint work with A. Cheskidov and A. Kiselev.