On the asymptotic equivalence between the Enskog and the Boltzmann equations.

DOI10.1007/BF01015329zbMath1086.82539MaRDI QIDQ1963644

Mirosław Lachowicz, Nicola Bellomo

Publication date: 2 February 2000

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

zbMATH Keywords

Boltzmann equationEnskog equationinitial value problemhydrodynamicsKinetic theoryasyptotic equivalence

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (9)

Global existence for the relativistic Enskog equations ⋮ On the initial value problem for the Boltzmann equation with a force term ⋮ The Enskog process ⋮ Microscopic solutions of the Boltzmann-Enskog equation in the series representation ⋮ Global existence in \(L^ 1\) for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation ⋮ On the modified Enskog equation for elastic and inelastic collisions. Models with spin ⋮ Derivation of the particle dynamics from kinetic equations ⋮ Global weak solutions and uniform \(L^p\)-stability of the Boltzmann-Enskog equation ⋮ On the convergence of solutions of the enskog equation to solutions of the boltzmann equation

Cites Work

• The Boltzmann equation: global existence for a rare gas in an infinite vacuum
• The Enskog-Boltzmann equation in the whole space \({\mathbb{R}}^ 3:\) Some global existence, uniqueness and stability results
• On the initial layer and the existence theorem for the nonlinear Boltzmann equation
• Existence in the large and asymptotic behaviour for the Boltzmann equation
• On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability
• Unnamed Item

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