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.
Author: | C. Bardos, F. Golse, J.-F. Colonna |
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URN: | urn:nbn:de:hbz:386-kluedo-5123 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (114) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 1994 |
Year of first Publication: | 1994 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/06/06 |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |