The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
type: Item
instance of: scholarly article
title: The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
zbMATH Open document ID: 1060.76101
author: François Golse
author: Laure Saint-Raymond
published in: Inventiones Mathematicae
publication date: 2004-07-07T00:00:00Z
review text: The Navier-Stokes limit for the Boltzmann equation with bounded collision kernels is discussed in complete detail. It is shown that the fluctuations of appropriately scaled sequences of renormalized solution of the Boltzmann equation (in the DiPerna-Lions sense) have as limit points weak Leray solutions of incompressible Navier-Stokes system. Assumptions on the sequences of renormalized solutions made in earlier papers devoted to the same problem are avoided in this work, so this paper completes the fluid dynamic limit theory for weak solutions at least for bounded collision kernels.
reviewed by: Reinhard Illner
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76A02
Mathematics Subject Classification ID: 35F20
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 82C40
zbMATH DE Number: 2078251
zbMATH Keywords: fluid dynamics limits
zbMATH Keywords: weak Leray solution
MaRDI profile type: Publication
full work available at URL: s00222-003-0316-5
OpenAlex ID: W2016768925
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DOI: 10.1007/S00222-003-0316-5
description: scientific article; zbMATH DE number 2078251