The Boltzmann equation with a soft potential - II. Nonlinear, spatially-periodic

Russel E. Caflisch

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Abstract

The results of Part I are extended to include linear spatially periodic problems-solutions of the initial value are shown to exist and decay like {Mathematical expression}. Then the full non-linear Boltzmann equation with a soft potential is solved for initial data close to equilibrium. The non-linearity is treated as a perturbation of the linear problem, and the equation is solved by iteration.

Original languageEnglish (US)
Pages (from-to)97-109
Number of pages13
JournalCommunications In Mathematical Physics
Volume74
Issue number2
DOIs
StatePublished - Jun 1 1980

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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