Boundary value problems for the steady Boltzmann equation
Journal Article
·
· Journal of Statistical Physics
- Univ. of Victoria, British Columbia (Canada)
We discuss steady boundary value problems for the Boltzmann equation with inflow and diffusive boundary conditions in one, two, and three dimensions, with suitable truncations of the collision kernel. General existence and uniqueness results are obtained if the domain is sufficiently small. In one dimension, the existence of solutions on general intervals is obtained by abstract fixed-point theory.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 441462
- Journal Information:
- Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 3-4 Vol. 85; ISSN JSTPBS; ISSN 0022-4715
- Country of Publication:
- United States
- Language:
- English
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