The milne and kramers problems for the boltzmann equation of a hard sphere gas

Claude Bardos; Russel E. Caflisch; Basil Nicolaenko

doi:10.1002/cpa.3160390304

The milne and kramers problems for the boltzmann equation of a hard sphere gas

Claude Bardos, Russel E. Caflisch, Basil Nicolaenko

Mathematics

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

Abstract

Existence, uniqueness and properties of asymptotic behavior are proved for solutions of the Milne and Kramers problems for the linearized Boltzmann equation for a gas of hard spheres. The proof uses energy‐like estimates and follows the analysis of Bardos, Santos and Sentis for the equations of neutron transport.

Original language	English (US)
Pages (from-to)	323-352
Number of pages	30
Journal	Communications on Pure and Applied Mathematics
Volume	39
Issue number	3
DOIs	https://doi.org/10.1002/cpa.3160390304
State	Published - May 1986

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "The milne and kramers problems for the boltzmann equation of a hard sphere gas",

abstract = "Existence, uniqueness and properties of asymptotic behavior are proved for solutions of the Milne and Kramers problems for the linearized Boltzmann equation for a gas of hard spheres. The proof uses energy‐like estimates and follows the analysis of Bardos, Santos and Sentis for the equations of neutron transport.",

author = "Claude Bardos and Caflisch, {Russel E.} and Basil Nicolaenko",

year = "1986",

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AU - Bardos, Claude

AU - Caflisch, Russel E.

AU - Nicolaenko, Basil

PY - 1986/5

Y1 - 1986/5

N2 - Existence, uniqueness and properties of asymptotic behavior are proved for solutions of the Milne and Kramers problems for the linearized Boltzmann equation for a gas of hard spheres. The proof uses energy‐like estimates and follows the analysis of Bardos, Santos and Sentis for the equations of neutron transport.

AB - Existence, uniqueness and properties of asymptotic behavior are proved for solutions of the Milne and Kramers problems for the linearized Boltzmann equation for a gas of hard spheres. The proof uses energy‐like estimates and follows the analysis of Bardos, Santos and Sentis for the equations of neutron transport.

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JO - Communications on Pure and Applied Mathematics

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The milne and kramers problems for the boltzmann equation of a hard sphere gas

Abstract

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