报告题目:The Uniqueness of Plane Stationary Navier-Stokes Flow Past an Obstacle
报告人:Prof.Mikhail Korobkov 复旦大学
报告时间:2020-12-10 14:00-15:00
腾讯会议ID:492 435 066
报告入口:https://meeting.tencent.com/s/PVZRM5Laq3NB
Abstract: We study the exterior problem for stationary Navier-Stokes equations in two dimensions describing a viscous incompressible fluid flowing past an obstacle. It is shown that, at small Reynolds numbers, the classical solutions constructed by Finn and Smith are unique in the class of D-solutions (i.e., solutions with finite Dirichlet integral). No additional symmetry or decay assumptions are required. This result answers a long-standing open problem. The talk is based on a joint paper with Xiao Ren (任潇, Fudan University).
