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Stationary solutions of the linearized Boltzmann equation in a half‐space
Author(s) -
Golse F.,
Poupaud F.,
Neunzert H.
Publication year - 1989
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670110406
Subject(s) - mathematics , boltzmann equation , spheres , hard spheres , space (punctuation) , lattice boltzmann methods , boltzmann constant , mathematical analysis , stationary solution , statistical physics , mechanics , physics , thermodynamics , philosophy , linguistics , astronomy
Stationary half‐space solutions of the linearized Boltzmann equation are studied by energy estimates methods. We extend the results of Bardos, Caflisch and Nicolaenko for a gas of hard spheres to a general potential. Asymptotic behaviour is obtained for hard as well as soft potentials and compared to the case of hard spheres.