The stationary Boltzmann equation for a two‐component gas for soft forces in the slab |
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Authors: | Stéphane Brull |
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Institution: | ANLA, University of Toulon, Avenue de l'Université, 83957 La Garde, France |
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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 L1 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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Keywords: | stationary Boltzmann equation renormalized solution |
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