Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum
type: Item
instance of: scholarly article
title: Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum
zbMATH Open document ID: 0609.76083
DOI: 10.1007/BF01211098
author: Reinhard Illner
author: Mario Pulvirenti
published in: Communications in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: The authors prove the validity of the Boltzmann equation for all times for a gas expanding into the vacuum with a large mean free path. The pillars of the proof are substantially two: the global existence proof of the Cauchy problem for the spatially inhomogeneous Boltzmann equation of the first author and \textit{M. Shinbrot} [ibid. 95, 217-226 (1984; Zbl 0599.76088)] and the local in time derivation of the Boltzmann equation obtained by \textit{O. Lanford} III [Lect. Notes Phys. 38, 1-111 (1975; Zbl 0329.70011)].
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82B40
zbMATH DE Number: 3986918
zbMATH Keywords: Boltzmann equation
zbMATH Keywords: mean free path
zbMATH Keywords: global existence proof
zbMATH Keywords: Cauchy problem
zbMATH Keywords: spatially inhomogeneous Boltzmann equation
MaRDI profile type: Publication
cites work: The Boltzmann equation: global existence for a rare gas in an infinite vacuum
cites work: On the Boltzmann equation for rigid spheres
cites work: Q5184583
cites work: The concept of irreversibility in the kinetic theory of gases
full work available at URL: https://doi.org/10.1007/bf01211098
OpenAlex ID: W4234651936
description: scientific article; zbMATH DE number 3986918