From stochastic mechanics to the discrete Boltzmann equation: The Broadwell model

DOI10.1016/0895-7177(91)90011-UzbMath0715.76083OpenAlexW2065677543MaRDI QIDQ751928

Ester Gabetta

Publication date: 1991

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(91)90011-u

zbMATH Keywords

transition probabilitiesdiscrete kinetic theoryBroadwell modelH.P.P. lattice with a random initial configurationhomogeneous gasspatially homogeneous Broadwell model

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Statistical mechanics of gases (82D05)

Cites Work

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• Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum
• Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum
• The Boltzmann equation and its applications
• On the Boltzmann-Grad limit for the Broadwell model of the Boltzmann equation.
• Local validity of the boltzmann equation
• Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory
• Time evolution of large classical systems

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