一、报告题目

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

二、主讲人

朱湘禅

三、报告时间

2021年9月22日 22:00

四、报告地点

腾讯会议 ID ：488 2330 4823

五、摘要

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.

六、主讲人简介

朱湘禅，博士毕业与北京大学和德国比勒菲尔德大学，现任中科院数学与系统科学研究院研究员，主要从事奇异随机偏微分方程以及随机流体方程适定性的研究，目前已在Ann. Probab., Communication in mathematical physics，Journal of functional analysis., Trans. Amer. Math. Soc., SIAM J. Math. Anal. Journal of differential equations等高水平期刊发表论文20余篇。

七、主办单位

非线性期望前沿科学中心

数学与交叉科学研究中心