Boundary value problems for the steady Boltzmann equation |
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| Authors: | R. Illner J. Struckmeier |
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| Affiliation: | (1) Department of Mathematics and Statistics, University of Victoria, V8W 3P4 Victoria, British Columbia, Canada;(2) Present address: Department of Mathematics, University of Kaiserslautern, 67653 Kaiserslautern, Germany |
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| Abstract: | 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. |
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| Keywords: | Steady Boltzmann equation boundary value problem numerical simulation |
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