General solution of a Boltzmann equation, and the formation of Maxwellian tails

DOI10.1098/rspa.1981.0027zbMath0488.76081OpenAlexW2021894808MaRDI QIDQ3950219

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Publication date: 1981

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1981.0027

zbMATH Keywords

general solutionhomogeneous isotropicformation of Maxwellian tailsTjon-Wu equationcollision cross section inversely proportional to relative velocityconjecture of M. Krook and T. T. Wuevolution to equilibriumnonlinear combination mechanismpure solutions

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Basic methods in fluid mechanics (76M99) Statistical thermodynamics (82B30) Irreversible thermodynamics, including Onsager-Machlup theory (82B35) General integral transforms (44A05)

Related Items (7)

Applications of the Kantorovich–Rubinstein Maximum Principle in the Theory of Boltzmann Equations ⋮ The Tjon-Wu equation in Banach space settings ⋮ Series solutions for nonlinear Boltzmann equations ⋮ Exact solutions of the nonlinear Boltzmann equation and the theory of relaxation of a Maxwellian gas ⋮ Asymptotic stability of some nonlinear Boltzmann-type equations ⋮ Psi-series method for equality of random trees and quadratic convolution recurrences ⋮ A study of Boltzmann energy equations

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