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Research Article
The stationary Boltzmann equation for a two-component gas for soft forces in the slab
Article first published online: 9 JUL 2008
DOI: 10.1002/mma.991
Copyright © 2008 John Wiley & Sons, Ltd.
Issue
1099-1476/asset/cover.gif?v=1&s=7f3c8599d848bbeeab682f114551621db8fd932e "Mathematical Methods in the Applied Sciences")
Mathematical Methods in the Applied Sciences
Volume 31, Issue 14, pages 1653–1666, 25 September 2008
Additional Information
How to Cite
Brull, S. (2008), The stationary Boltzmann equation for a two-component gas for soft forces in the slab. Math. Meth. Appl. Sci., 31: 1653–1666. doi: 10.1002/mma.991
Publication History
- Issue published online: 7 AUG 2008
- Article first published online: 9 JUL 2008
- Manuscript Received: 5 FEB 2007
- Abstract
- References
- Cited By
Keywords:
- stationary Boltzmann equation;
- renormalized solution
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.