Diffusion Approximation and Hyperbolic Automorphisms of the Torus

  • In this article a diffusion equation is obtained as a limit of a reversible kinetic equation with an ad hoc scaling. The diffusion is produced by the collisions of the particles with the boundary. These particles are assumed to be reflected according to a reversible law having convenient mixing properties. Optimal convergence results are obtained in a very simple manner. This is made possible because the model, based on Arnold" s cat map can be handled with Fourier series instead of the symbolic dynamics associated to a Markow partition.

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Metadaten
Author:C. Bardos, F. Golse, J.-F. Colonna
URN (permanent link):urn:nbn:de:hbz:386-kluedo-5123
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (114)
Document Type:Preprint
Language of publication:English
Year of Completion:1994
Year of Publication:1994
Publishing Institute:Technische Universität Kaiserslautern
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik

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