Low-density asymptotic behavior of observables of hard sphere fluids
type: Item
instance of: scholarly article
title: Low-density asymptotic behavior of observables of hard sphere fluids
zbMATH Open document ID: 1405.82026
DOI: 10.1155/2018/6252919
author: V. I. Gerasimenko
author: I. Gap'yak
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: The paper deals with a rigorous description of the kinetic evolution of a hard sphere system in the low-density (Boltzmann-Grad) scaling limit within the framework of marginal observables governed by the dual BBGKY (Bogolyubov-Born-Green-Kirkwood-Yvon) hierarchy. For initial states specified by means of a one-particle distribution function, the link between the Boltzmann-Grad asymptotic behavior of a nonperturbative solution of the Cauchy problem of the dual BBGKY hierarchy for marginal observables and a solution of the Boltzmann kinetic equation for hard sphere fluids is established. One of the advantages of such an approach to the derivation of the Boltzmann equation is an opportunity to describe the process of the propagation of initial correlations in scaling limits.
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 35Q20
Mathematics Subject Classification ID: 82C10
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 6991992
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: kinetic evolution
zbMATH Keywords: BBGKY (Bogolyubov-Born-Green-Kirkwood-Yvon)
zbMATH Keywords: Boltzmann equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6252919
OpenAlex ID: W2790397282
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Wikidata QID: Q130139388
description: scientific article; zbMATH DE number 6991992