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On the inviscid limit for the Navier-Stokes equations

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TURW02 - Rigorous analysis of incompressible fluid models and turbulence

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 current results on this problem. We will also present a recent result, joint with Vlad Vicol and Fei Wang, 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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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