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Diffusion approximation for a Knudsen gas in a thin domain with reflexive chaotic law

Published online by Cambridge University Press:  17 April 2009

Christian Dogbé
Christian Dogbé
Affiliation:
Départment de Mathématiques, Université Paris VII, Paris, France, e-mail: dogbe@math.jussieu.fr
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Abstract

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This paper treats a rarefied Knudsen gas flow between two infinite plates, with boundary reflexion ruled by a reflexive chaotic law called “Arnold's cat map”. It is shown that the limiting behaviour, when the distance between the plates goes to 0, is described by an (anisotropic) diffusion equation in the norm topology.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 63 , Issue 3 , June 2001 , pp. 497 - 514
Copyright
Copyright © Australian Mathematical Society 2001

References

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