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The milne and kramers problems for the boltzmann equation of a hard sphere gas
Author(s) -
Bardos Claude,
Caflisch Russel E.,
Nicolaenko Basil
Publication year - 1986
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160390304
Subject(s) - boltzmann equation , uniqueness , mathematics , hard spheres , boltzmann constant , spheres , convection–diffusion equation , lattice boltzmann methods , mathematical analysis , statistical physics , physics , mechanics , thermodynamics , astronomy
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.