On the asymptotic equivalence between the Enskog and the Boltzmann equations in the presence of an external force field
type: Item
instance of: scholarly article
title: On the asymptotic equivalence between the Enskog and the Boltzmann equations in the presence of an external force field
zbMATH Open document ID: 0727.76098
author: Mirosław Lachowicz
published in: Hokkaido Mathematical Journal
publication date: 1991-01-01T00:00:00Z
review text: The paper deals with the asymptotic equivalence between the Enskog and the Boltzmann equations in the presence of an external force field, when the scale of the hard - sphere diameter in the Enskog model tends to 0. The asymptotic equivalence is presented when a global existence theorem for the Boltzmann equation in all space holds, and for the force field integrable in time. For example, the force field can be large in modulus and with arbitrary direction as far as it acts for a finite, although large, time interval.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 82D05
Mathematics Subject Classification ID: 35L60
zbMATH DE Number: 4201939
zbMATH Keywords: asymptotic equivalence
zbMATH Keywords: Boltzmann equations
zbMATH Keywords: external force field
zbMATH Keywords: Enskog model
zbMATH Keywords: global existence theorem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1381413799
OpenAlex ID: W2764595288
DOI: 10.14492/HOKMJ/1381413799
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description: scientific article; zbMATH DE number 4201939