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Fluctuations Pour Des Équations De Boltzmann Scalaires

Published online by Cambridge University Press:  20 November 2018

René Ferland
René Ferland*
Affiliation:
Université du Québec à Montréal, Montréal, Québec
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Kac [22] a montré, pour sa caricature d'un gaz de Boltzmann, que la solution de l'équation de Boltzmann généralisée correspondante peut être obtenue comme limite d'une suite de lois empiriques induites par des processus markoviens . Pour un entier n donné, le processus (Xn (t))t≥0 décrit le comportement d'un gaz à n molécules où des collisions binaires ont lieu à des instants imprévisibles. Ce processus est gouverné par un générateur Gn qui est défini à l'aide de l'opérateur de collision apparaissant dans la version de Kac de l'équation de Boltzmann.

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Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 5 , 01 October 1991 , pp. 975 - 984
Copyright
Copyright © Canadian Mathematical Society 1991

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