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

Russel E. Caflisch

doi:10.1007/BF01197752

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

Russel E. Caflisch

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	97-109
Number of pages	13
Journal	Communications In Mathematical Physics
Volume	74
Issue number	2
DOIs	https://doi.org/10.1007/BF01197752
State	Published - Jun 1980

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01197752

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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.",

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year = "1980",

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AB - 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.

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

Abstract

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