国家天元数学中部中心偏微分方程系列报告 | Prof. Mikhail Korobkov (复旦大学)

发布时间: 2020-12-01 16:30

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).