The convergence of non-Newtonian fluids to Navier-Stokes equations
type: Item
instance of: scholarly article
title: The convergence of non-Newtonian fluids to Navier-Stokes equations
zbMATH Open document ID: 1179.35213
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-07-09T00:00:00Z
review text: The solution of the problem associated with an incompresible dipolar viscous non-Newtonian fluid converges to the solution of the Navier-Stokes equations with respect to the \(L^2\)-norm (respectively \(H^1\)-norm), as the viscosities tend to zero and the initial data belong to \(H^1(\Omega)\) (respectively \(H^2(\Omega)\)). Moreover, the authors obtain \(L^{\infty}\)-norm convergence if the initial data belong to \(H^2(\Omega)\).
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 5577085
zbMATH Keywords: non-Newtonian fluids
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: convergence of solutions
author: Boling Guo
author: Chun Xiao Guo
reviewed by: Gheorghe Moroşanu
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.04.027
OpenAlex ID: W2062606668
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DOI: 10.1016/J.JMAA.2009.04.027
description: scientific article; zbMATH DE number 5577085