Asymptotic behavior of one-dimensional discrete-velocity models in a slab
type: Item
instance of: scholarly article
title: Asymptotic behavior of one-dimensional discrete-velocity models in a slab
zbMATH Open document ID: 0829.76076
DOI: 10.1007/BF00375020
author: P. Grzegorczyk
author: Christopher Bose
author: Reinhard Illner
published in: Archive for Rational Mechanics and Analysis
publication date: 1995-05-11T00:00:00Z
review text: From the discrete velocity models of Boltzmann equation, as introduced by \textit{R. Illner} and \textit{T. Platkowski} [SIAM Rev. 30, 213-255 (1988; Zbl 0668.76087)] and with the notations and the pattern of discussions of \textit{S. Kawashima} [Nonlin. Anal. Theory Methods Appl. 17, 577-597 (1991; Zbl 0763.35075)], some results are obtained on the asymptotic behaviour of the global solution of the initial-boundary value problems in one- dimensional slab \(0 < x < 1\) with general stochastic boundary conditions at \(x = 0\) and \(x = 1\). With the assumption of homogeneity in \(y\)- and \(z\)-spatial directions, the problems discussed are reduced to one- dimensional problems. After a brief discussion of Kawashima's theorems, some results are sharpened. At the end the authors consider the case when collision term is absent.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82B20
zbMATH DE Number: 754020
reviewed by: Mahadeb Dutta
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 754020