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

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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… Click to show full abstract

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.

Keywords: inviscid limit; limit navier; stokes equations; equations data; navier stokes

Journal Title: Archive for Rational Mechanics and Analysis
Year Published: 2019

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