The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary

By Igor Kukavica, Vlad Vicol, Fei Wang. Archive for Rational Mechanics and Analysis, 2019

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We address the inviscid limit for the Navier–Stokes equations in a half space, with initial datum that is analytic only close to the boundary of the domain, and that has Sobolev regularity in the complement. We prove that for such data the solution of the Navier–Stokes equations converges in the vanishing viscosity limit to the solution of the Euler equation, on a constant time interval.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/de89be862c35ff91ab550e04a4cb20402869896b