BOLTZMANN-GRAD LIMIT FOR A PARTICLE SYSTEM IN CONTINUUM

Citation
F. Rezakhanlou et Je. Tarver, BOLTZMANN-GRAD LIMIT FOR A PARTICLE SYSTEM IN CONTINUUM, Annales de l'I.H.P. Probabilites et statistiques, 33(6), 1997, pp. 753-796
Citations number
14
Categorie Soggetti
Statistic & Probability","Statistic & Probability
ISSN journal
02460203
Volume
33
Issue
6
Year of publication
1997
Pages
753 - 796
Database
ISI
SICI code
0246-0203(1997)33:6<753:BLFAPS>2.0.ZU;2-#
Abstract
We examine a system of one-dimensional particles in which the particle s travel deterministically in between stochastic collisions. The colli sion rates are chosen so that finitely many collisions occur in a unit interval of time, We prove the kinetic limit and subsequently derive the discrete Boltzmann equation.