Anderson–Witting Model of the Relativistic Boltzmann Equation Near Equilibrium

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Abstract

Anderson–Witting model is a relaxational model equation of the relativistic Boltzmann equation, which sees a wide application in physics. In this paper, we study the existence of classical solutions and its asymptotic behavior when the solution starts sufficiently close to a global relativistic Maxwellian.

Original languageEnglish
Pages (from-to)1009-1045
Number of pages37
JournalJournal of Statistical Physics
Volume176
Issue number4
DOIs
StatePublished - 30 Aug 2019

Keywords

  • Anderson–Witting model
  • Kinetic theory of gases
  • Nonlinear energy method
  • Relativistic BGK model
  • Relativistic Boltzmann equation
  • Special relativity

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