Hydrodynamic limits of the Boltzmann equation
type: Item
instance of: scholarly article
title: Hydrodynamic limits of the Boltzmann equation
zbMATH Open document ID: 1171.82002
DOI: 10.1007/978-3-540-92847-8
author: Laure Saint-Raymond
published in: Lecture Notes in Mathematics
publication date: 2009-02-02T00:00:00Z
review text: The problems of hydrodynamic limits for the Boltzmann equation are discussing in the six chapters book. General results are based on the Boltzmann equation and are considering the transition from kinetic theory to hydrodynamic equations. The first three chapters of the book are reviewing fundamental mathematical problems of the nonlinear Boltzmann equation solution (the Cauchy problem for the Boltzmann equation and evolution of particle distribution function of rarefied gases) and derivations of the hydrodynamic equations. Main basic problems of incompressible Navier-Stokes equations and thre solutions including the boundaries value problems are discussing. The last two chapters are devoted to the incompressible and compressible Euler equations and may be more interesting for scientists that are working on applications of rarefied bas flow to simple systems. This book may be useful for advanced graduate students and for scientists who are interesting on mathematical problems of the statistical mechanics and rarefied gases.
Mathematics Subject Classification ID: 82-02
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 35-02
Mathematics Subject Classification ID: 82D05
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 5500959
zbMATH Keywords: Boltzmann equation
zbMATH Keywords: hydrodynamic limits
zbMATH Keywords: nonlinear solution
zbMATH Keywords: global solution
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: Euler limits
zbMATH Keywords: energy conservation
reviewed by: Oleg A. Sinkevich
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-540-92847-8
OpenAlex ID: W1496291304
description: scientific article; zbMATH DE number 5500959