报 告 人： 陈昕 博士 葡萄牙里斯本大学
报告题目：Navier-Stokes equation and forward-backward stochastic differential system in the Besov spaces
时 间：
地 点：旗山校区理工楼统计实验室109
主 办：数学与计算机科学学院
报告摘要：
In this talk, the Navier-Stokes equation on R_d (d > 3) formulated on Besov spaces is considered. Using a stochastic forward-backward differential system, the local existence of a unique solution in B_{p,p}^r with r > 1 + d /p is obtained. We also show the convergence to solution of the Euler equation when the viscosity tends to zero. Moreover, we prove the local existence of a unique solution in B_{p,p}^r, with p > 1, q\ge1 and r > max(1; d/p ); here the maximal time interval depends on the viscosity.
