TY  - INPR
A1  - Bardos, C.
A1  - Golse, F.
A1  - Colonna, J.-F.
T1  - Diffusion Approximation and Hyperbolic Automorphisms of the Torus
N2  - 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.
T3  - Berichte der Arbeitsgruppe Technomathematik (AGTM Report) - 114 
Y1  - 1994
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/543
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-5123
ER  -