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Mathematics Colloquium

Igor Kukavica
University of Southern California

Title: On the inviscid limit problem for the Navier-Stokes equations
Date: Friday, December 02, 2022
Place and Time: LOV 101, 3:05-3:55 pm


The question of whether the solution of the Navier-Stokes equation converges to the solution of the Euler equation as the viscosity vanishes is one of the fundamental problems in fluid dynamics. In the talk, we will review history and discuss current status on this problem. We will also present a recent result which shows that the inviscid limit holds for the initial data that is analytic only close to the boundary of the domain, and has Sobolev regularity in the interior. We will also discuss the Prandtl equation and its role in the inviscid limit problem.