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Compactness of the Fluctuations Associated with some Generalized Nonlinear Boltzmann Equations

Published online by Cambridge University Press:  20 November 2018

René Ferland ,
Xavier Fernique  and
Gaston Giroux
René Ferland
Affiliation:
Université du Québec à Montréal, Montréal, Québec
Xavier Fernique
Affiliation:
Université Louis Pasteur, Strasbourg, France
Gaston Giroux
Affiliation:
Université de Sherbrooke, Sherbrooke, Québec
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Abstract

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In this paper, we develop a new approach to obtain the compactness of the fluctuation processes for Boltzmann dynamics. Our method is applicable to Kac's model, already studied by Uchiyama, but it covers many other cases. A novelty worth mentioning is the use of the weak topology of a Hilbert space.

Keywords

60K3560F9976P05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 6 , 01 December 1992 , pp. 1192 - 1205
Copyright
Copyright © Canadian Mathematical Society 1992

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