Presentation Name: The uniqueness of Plane Stationary Navier-Stokes Flow Past an Obstacle
Presenter: Xiao Ren
Date: 2020-11-26
Location: ZOOM Id: 836 7313 8944,Passcode: 808818
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 M.Korobkov.

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