Convergence of a lattice model of the boltzmann equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1979 English Publisher:Springer Science and Business Media LLCJournal:Letters in Mathematical Physics, volume 3, pages 293-296 (issn: 0377-9017, eissn: 1573-0530,

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Authors: Greenberg, William; Voigt, Jurgen; Zweifel, P. F.;

doi: 10.1007/bf01821849

Convergence of a lattice model of the boltzmann equation

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Abstract

It is shown that the solutions of a (spatially) discrete model of the Boltzmann equation converge in a weak sense as the lattice spacing approaches zero. The method follows a compactness argument of Arkeryd.

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Virginia Tech
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Keywords

Boltzmann equation, Rarefied gas flows, Boltzmann equation in fluid mechanics, lattice model, converge in a weak sense

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