Boltzmann-grad limit for a particle system in continuum
type: Item
instance of: scholarly article
title: Boltzmann-grad limit for a particle system in continuum
zbMATH Open document ID: 0888.60076
DOI: 10.1016/S0246-0203(97)80112-4
author: Fraydoun Rezakhanlou
author: James E. Tarver
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 1998-06-02T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/77589
review text: The authors derive the discrete Boltzmann equation as the kinetic limit of a one-dimensional particle system with particles travelling with fixed velocity between stochastic collisions. The proof is based on an entropy bound, from which there follows, that there are only finitely many collisions per unit time. A similar model was studied by the first author [Probab. Theory Relat. Fields 104, No. 1, 97-146 (1996; Zbl 0838.60085)], in which particles perform a random walk between stochastic collisions.
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 1100522
zbMATH Keywords: one-dimensional particle system
zbMATH Keywords: discrete Boltzmann equation
zbMATH Keywords: kinetic limit
MaRDI profile type: Publication
OpenAlex ID: W2082758842
description: scientific article; zbMATH DE number 1100522