On the inviscid limit of the Navier-Stokes equations

Peter Constantin; Igor Kukavica; Vlad Vicol

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arXiv · 1403.5748

On the inviscid limit of the Navier-Stokes equations

Peter Constantin·Igor Kukavica·Vlad Vicol

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Abstract

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.

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Peter Constantin, Igor Kukavica, Vlad Vicol. 2014-03-30. On the inviscid limit of the Navier-Stokes equations. https://arxiv.org/abs/1403.5748

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