Boundary value problems for the steady Boltzmann equation
Date
2009-08-27T21:36:41Z
Authors
Illner, R.
Struckmeier, J.
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Abstract
We discuss steady boundary value problems for the Boltzmann equation with inflow and diffusive boundary conditions in 1, 2 and 3 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. A-priori estimates for solutions in more than one dimension and some numerical examples are also given.
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technical reports (mathematics and statistics)