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

Nader Masmoudi; Laure Saint-Raymond

doi:10.1002/cpa.10095

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

Nader Masmoudi, Laure Saint-Raymond

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	1263-1293
Number of pages	31
Journal	Communications on Pure and Applied Mathematics
Volume	56
Issue number	9
DOIs	https://doi.org/10.1002/cpa.10095
State	Published - Sep 2003

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/cpa.10095

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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.",

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AB - 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.

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

Abstract

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