A Random Discrete Velocity Model and Approximation of the Boltzmann Equation

  • An approximation procedure for the Boltzmann equation based on random choices of collision pairs from a fixed velocity set and on discrete velocity models is designed. In a suitable limit, the procedure is shown to converge to the time-discretized and spatially homogeneous Boltzmann equation.

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Metadaten
Author:Reinhard Illner, W. Wagner
URN:urn:nbn:de:hbz:386-kluedo-6767
Series (Serial Number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (70)
Document Type:Preprint
Language of publication:English
Year of Completion:1992
Year of first Publication:1992
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/05/30
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