Large-time behavior of solutions of the discrete Boltzmann equation

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14 Citations (Scopus)

Abstract

Large-time behavior of solutions of the one-dimensional discrete Boltzmann equation is studied. Under suitable assumptions it is proved that as time tends to infinity, the solution approaches a function which is constructed explicitly in terms of the self-similar solutions of the Burgers equation and the linear heat equation.

Original languageEnglish
Pages (from-to)563-589
Number of pages27
JournalCommunications in Mathematical Physics
Volume109
Issue number4
DOIs
Publication statusPublished - 1987 Dec 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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