## Abstract The stationary Boltzmann equation for hard forces in the context of a two‐component gas is considered in the slab. An __L__^1^ existence theorem is proved when one component satisfies a given indata profile and the other component satisfies diffuse reflection at the boundaries. Weak __L
The stationary Boltzmann equation for a two-component gas for soft forces in the slab
✍ Scribed by Stéphane Brull
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 125 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.991
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✦ Synopsis
Abstract
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.
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