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The stationary Boltzmann equation for a two‐component gas for soft forces in the slab
Author(s) -
Brull Stéphane
Publication year - 2008
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.991
Subject(s) - mathematics , slab , boltzmann equation , context (archaeology) , boltzmann's entropy formula , boltzmann constant , component (thermodynamics) , compact space , entropy (arrow of time) , mathematical analysis , reflection (computer programming) , physics , thermodynamics , paleontology , geophysics , computer science , biology , programming language
The stationary Boltzmann equation for soft forces in the context of a two‐component gas is considered in the slab. An existence theorem is proved when one component satisfies a given indata profile and the other component satisfies diffuse reflection at the boundaries in a renormalized sense. Weak L 1 compactness is extracted from the control of the entropy production term. Trace at the boundaries is also controlled. Copyright © 2008 John Wiley & Sons, Ltd.