Seminars & Colloquia Calendar
On Steady Navier--Stokes equations in 2D exterior domains
Mikhail Korobkov, Fudan University (Shanghai) and Sobolev Institute of Mathematics (Novosibirsk)
Date & time: Wednesday, 16 February 2022 at 9:30AM - 10:30AM
Feb. 16, 2022, Wed, 9:30-10:30am (Eastern Time)
Abstract: The talk is devoted to a review of results on solutions to the steady Navier-Stokes system with a finite Dirichlet integral in the exterior plane domain (="D-solutions"). Recently, some progress has been made on this problem: the uniform boundedness in the C-norm and the uniform convergence (at infinity) of such solutions, the uniqueness of the solutions to the flow around an obstacle problem in the class of all D-solutions, the nontriviality of the Leray solutions (obtained by the method of "invading domains") in flow around an obstacle problem and their convergence to a given limit at low Reynolds numbers. These results were obtained in our joint papers with Konstantin Pileckas, Remigio Russo, and Xiao Ren.
Meeting ID: 964 3090 5091 Passcode: 491508