A study of Boltzmann energy equations

DOI10.1016/0003-4916(85)90191-5zbMath0591.76134OpenAlexW1993442913MaRDI QIDQ1075193

Giorgio Turchetti, Michael F. Barnsley

Publication date: 1985

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(85)90191-5

zbMATH Keywords

numerical solutionenergy equationBoltzmann energy equationcollisional kernelderivation of the H-theoremestimation of the collisional invariantsexpansion in Laguerre polynomialsno external force fieldsspatially homogeneous isotropic systems of identical particlestime evolution of the one particle distribution function

Mathematics Subject Classification ID

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

Related Items (4)

Binomial Boltzmann processes: Convergence of the fluctuations ⋮ Bounds for spatially nonhomogeneous model Boltzmann energy equations ⋮ Some remarks on differential equations of quadratic type ⋮ Global spectral gap for Dirichlet-Kac random motions

Cites Work

• On generating exact solutions of the Maxwell-Boltzmann equation
• The Tjon-Wu equation in Banach space settings
• Some classes of exact solutions of the nonlinear Boltzmann equation
• On a class of solutions of the Krook–Tjon–Wu model of the Boltzmann equation
• General solution of a Boltzmann equation, and the formation of Maxwellian tails
• Exact solutions of the Boltzmann equation
• Stokes Paradox in Kinetic Theory
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