Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
type: Item
instance of: scholarly article
title: Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
zbMATH Open document ID: 1229.35184
author: Dragoş Iftimie
author: Franck Sueur
published in: Archive for Rational Mechanics and Analysis
publication date: 2011-10-04T00:00:00Z
review text: The paper studies the issue of the inviscid limit of the incompressible Navier-Stokes equations when the Navier slip-with-friction conditions are prescribed on impermeable boundaries. The authors justify an asymptotic expansion which involves a weak amplitude boundary layer, with the same thickness as in Prandtl's theory and a linear behavior. This analysis holds for general regular domains, in both dimensions two and three.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 5952939
zbMATH Keywords: viscous boundary layers
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: Navier slip condition
reviewed by: Qin Meng Zhao
MaRDI profile type: Publication
full work available at URL: s00205-010-0320-z
OpenAlex ID: W2020877371
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DOI: 10.1007/S00205-010-0320-Z
description: scientific article; zbMATH DE number 5952939