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.