The Boltzmann hierarchy: Existence, uniqueness, and approach to equilibrium for a cloud of gas

DOI10.1080/00411458908214496zbMath0688.76054OpenAlexW2018151249WikidataQ126243523 ScholiaQ126243523MaRDI QIDQ4207737

Marvin Shinbrot

Publication date: 1989

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458908214496

zbMATH Keywords

Boltzmann equationmean free pathBoltzmann hierarchycloud of gasglobal, Loeb integrable solutionnonstandard enrichmentsolution hierarchy

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

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Cites Work

• Loeb solutions of the Boltzmann equation
• The Boltzmann equation: global existence for a rare gas in an infinite vacuum
• On the Boltzmann equation in unbounded space far from equilibrium, and the limit of zero mean free path
• Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum
• Local validity of the boltzmann equation
• The Boltzmann equation: Flow of cloud of gas past a body

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