The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations
type: Item
instance of: scholarly article
title: The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations
zbMATH Open document ID: 0888.35077
DOI: 10.1016/S0893-9659(97)00079-7
published in: Applied Mathematics Letters
publication date: 1998-04-06T00:00:00Z
review text: The full (nonlinear) Navier-Stokes equations in space dimension two is considered. Under physically reasonable assumptions it is proved that the solutions to the Navier-Stokes equations converge to the solutions of Euler equations on any finite interval of time. The assumptions on the solutions are either the boundedness at the wall accepted in turbulence theory, or a moderate growth condition for the tangential derivative of the tangential flow near the wall, physical relevance of which is discussed in the text. The flow in a channel of rectangular geometry is considered.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1107192
zbMATH Keywords: channel of rectangular geometry
zbMATH Keywords: finite time interval
author: R. Temam
author: Xiaoming Wang
MaRDI profile type: Publication
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full work available at URL: s0893-9659(97)00079-7
OpenAlex ID: W1981904663
description: scientific article; zbMATH DE number 1107192