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arXiv:1403.5748 [math.AP]AbstractReferencesReviewsResources

On the inviscid limit of the Navier-Stokes equations

Peter Constantin, Igor Kukavica, Vlad Vicol

Published 2014-03-23, updated 2014-03-30Version 2

We consider the convergence in the $L^2$ norm, uniformly in time, of the Navier-Stokes equations with Dirichlet boundary conditions to the Euler equations with slip boundary conditions. We prove that if the Oleinik conditions of no back-flow in the trace of the Euler flow, and of a lower bound for the Navier-Stokes vorticity is assumed in a Kato-like boundary layer, then the inviscid limit holds.

Comments: Improved the main result and fixed a number of typos
Categories: math.AP
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