From the Boltzmann Equation to the Stokes-Fourier System in a Bounded Domain

Nader Masmoudi, Laure Saint-Raymond

Research output: Contribution to journalArticle

Abstract

We prove that the renormalized solutions of the Boltzmann equation considered in a bounded domain with different types of (kinetic) boundary conditions converge to the Stokes-Fourier system with different types of (fluid) boundary conditions when the main free path goes to zero. This extends the work of F. Golse and D. Levermore [9] to the case of a bounded domain.

Original languageEnglish (US)
Pages (from-to)1263-1293
Number of pages31
JournalCommunications on Pure and Applied Mathematics
Volume56
Issue number9
DOIs
StatePublished - Sep 2003

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Boltzmann equation
Boltzmann Equation
Stokes
Bounded Domain
Boundary conditions
Renormalized Solutions
Kinetics
Converge
Fluid
Path
Fluids
Zero

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

From the Boltzmann Equation to the Stokes-Fourier System in a Bounded Domain. / Masmoudi, Nader; Saint-Raymond, Laure.

In: Communications on Pure and Applied Mathematics, Vol. 56, No. 9, 09.2003, p. 1263-1293.

Research output: Contribution to journalArticle

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