From the kinetic theory of gases to continuum mechanics

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Abstract

Recent results on the fluid dynamic limits of the Boltzmann equation based on the DiPerna-Lions theory of renormalized solutions are reviewed in this paper, with an emphasis on regimes where the velocity field behaves to leading order like that of an incompressible fluid with constant density.

Original languageEnglish
Title of host publication27th International Symposium on Rarefied Gas Dynamics - 2010, RGD27
Pages15-27
Number of pages13
EditionPART 1
DOIs
Publication statusPublished - 18 Oct 2011
Event27th International Symposium on Rarefied Gas Dynamics, RGD27 - Pacific Grove, CA, United States
Duration: 10 Jul 201115 Jul 2011

Publication series

NameAIP Conference Proceedings
NumberPART 1
Volume1333
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference27th International Symposium on Rarefied Gas Dynamics, RGD27
Country/TerritoryUnited States
CityPacific Grove, CA
Period10/07/1115/07/11

Keywords

  • Boltzmann equation
  • Entropy production
  • Euler equations
  • Hydrodynamic limits
  • Kinetic models
  • Navier-stokes equations

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