## 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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Verfasserangaben: C. Bardos, F. Golse, J.-F. Colonna urn:nbn:de:hbz:386-kluedo-5123 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (114) Preprint Englisch 1994 1994 Technische Universität Kaiserslautern 06.06.2000 Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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