报告问题 (Title)：Forward-backward stochastic differential equation on tensor fields and the application on Navier-Stokes equations on Riemannian manifold (张量场上的正倒向随机微分方程及其在黎曼流形上的Navier-Stokes方程上的应用)

报告人 (Speaker)：陈昕 长聘副教授（上海交通大学）

报告时间 (Time)：2022年8月31日 (周三) 15:00

报告所在 (Place)：腾讯聚会（聚会号：742-421-094 无密码）

约请人(Inviter)：阳芬芬

主理部分：理学院数学系

报告摘要：We introduce a class of forward-backward equation on tensor fields which has a connection with quasi-linear partial differential equation on tensor fields. As an application, we will provide a stochastic representation for Navier-Stokes equation on a Riemannian manifold. Based on this representation, we will give a stochastical proof about local existence of a solution for Navier-Stokes equation on a Riemannian manifold. This talks is based on a joint work with A.B. Cruzeiro, Wenjie Ye and Qi Zhang.