Measure solutions of the steady Boltzmann equation in a slab |
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| Authors: | Leif Arkeryd Carlo Cercignani Reinhard Illner |
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| Institution: | (1) Department of Mathematics, Chalmers Institute of Technology, Goeteborg, Sweden;(2) Dipartimento di Matematica, Politecnico di Milano, I-20133 Milano, Italy;(3) Department of Mathematics, University of Victoria, P.O. Box 3045, V8W 3p4 Victoria, B.C., Canada |
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| Abstract: | It is shown that the steady Boltzmann equation in a slab 0,a] has solutionsx 
x
such that the ingoing boundary measures
0 { >0} and
 {<0} can be prescribed a priori. The collision kernel is truncated such that particles with smallx-component of the velocity have a reduced collision rate. |
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