学术报告(朱蓉禅 11.14)

On ill- and well-posedness of dissipative martingale solutions to stochastic 3D Euler equations

发布人:杨晓静 发布日期:2020-11-02
主题
On ill- and well-posedness of dissipative martingale solutions to stochastic 3D Euler equations
活动时间
-
活动地址
平台: 腾讯会议 收听账号及密码:331459128 111222
主讲人
朱蓉禅教授 北京理工大学
主持人
巫静

Abstract: We are concerned with the question of  well-posedness of stochastic three dimensional incompressible Euler equations. In particular, we introduce a novel class of dissipative solutions and show that (i) existence; (ii) weak--strong uniqueness; (iii) non-uniqueness in law; (iv) existence of a strong Markov solution; (v) non-uniqueness of strong Markov solutions; all hold true within this class. Moreover, as a byproduct of (iii) we obtain existence and non-uniqueness of probabilistically strong and analytically weak solutions defined up to a stopping time and satisfying an energy inequality. This talk is based on joint work with Martina Hofmanova and Xiangchan Zhu.