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

Russel Caflisch

Research output: Contribution to journalArticle

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 1980

Fingerprint

Boltzmann Equation
Periodic Problem
iteration
Nonlinear Equations
nonlinearity
Nonlinearity
Decay
Perturbation
Iteration
perturbation
decay

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

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

In: Communications in Mathematical Physics, Vol. 74, No. 2, 06.1980, p. 97-109.

Research output: Contribution to journalArticle

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