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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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References

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Author notes

  1. Jurgen Voigt

    Present address: Mathematisches Institut, Universität München, München, Germany

Authors and Affiliations

  1. Virginia Polytechnic Institute and State University, 24061, Blacksburg, Virginia, USA

    William Greenberg, Jurgen Voigt & P. F. Zweifel

Authors
  1. William Greenberg
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  2. Jurgen Voigt
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  3. P. F. Zweifel
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Greenberg, W., Voigt, J. & Zweifel, P.F. Convergence of a lattice model of the boltzmann equation. Lett Math Phys 3, 293–296 (1979). https://doi.org/10.1007/BF01821849

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  • DOI: https://doi.org/10.1007/BF01821849

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