Powerlike decreasing solutions of the Boltzmann equation for a Maxwell gas

DOI10.1007/BF01106793zbMath0514.76072MaRDI QIDQ1051533

A. Gervois, Henri Cornille

Publication date: 1981

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

zbMATH Keywords

nonlinearhomogeneousisotropicenergy power like decreasing solutionsfinite differential system for generalized Sonine momentsgeneralized generating functionMaxwellian interactionsmall relaxation ratesTjon's effect

Mathematics Subject Classification ID

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

Related Items

On a nonlinear evolution problem of particle transport theory with nonconstant collision frequencies, Exact solutions in 1+1 dimensions of the general two-velocity discrete Illner model, Bi-solitons for a class of non-linear equations with quadratic non-linearity. I, Exact solutions of the nonlinear Boltzmann equation and the theory of relaxation of a Maxwellian gas

Cites Work

• On a class of solutions of the Krook–Tjon–Wu model of the Boltzmann equation
• Exact solutions of the Boltzmann equation
• On the kinetic theory of rarefied gases