On diffusive equilibria in generalized kinetic theory.

DOI10.1023/A:1012246513712zbMath1051.82021OpenAlexW99596997MaRDI QIDQ5950967

Carlo Cercignani, Cristina Stoica, Reinhard Illner

Publication date: 2 January 2002

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

Full work available at URL: https://doi.org/10.1023/a:1012246513712

zbMATH Keywords

weak solutionsgranular flowBoltzmann operatorintegrable densitiespseudo-Maxwellian collision operator

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (12)

Regularity and long time behavior of the Boltzmann equation for granular gases ⋮ On the inelastic Boltzmann equation for soft potentials with diffusion ⋮ Kinetic models with randomly perturbed binary collisions ⋮ Elastic limit and vanishing external force for granular systems ⋮ Tanaka theorem for inelastic Maxwell models ⋮ \(L ^{1}\) and BV-type stability of the inelastic Boltzmann equation near vacuum ⋮ Global existence and stability of mild solutions to the inelastic Boltzmann system for gas mixtures ⋮ The existence and convergence of the Maxwell model for granular materials ⋮ On the inelastic Enskog equation near vacuum ⋮ Contractive metrics for a Boltzmann equation for granular gases: Diffusive equilibria ⋮ Uniform stability of the Boltzmann equation with an external force near vacuum ⋮ Direct simulation of the uniformly heated granular Boltzmann equation.

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