Global existence and asymptotic behavior for the discrete velocity models of the Boltzmann equation

DOI10.1063/1.526718zbMath0588.76138OpenAlexW1964332799MaRDI QIDQ3716674

Giuseppe Toscani

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526718

zbMATH Keywords

asymptotic behavioruniquenessCauchy problemglobal existencefixed point techniquesgeneral discrete velocity model

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (6)

Global solutions to the initial-boundary value problem for the discrete Boltzmann equation ⋮ The Enskog-Boltzmann equation in the whole space \({\mathbb{R}}^ 3:\) Some global existence, uniqueness and stability results ⋮ Discrete velocity models with small data ⋮ On the Cauchy problem for the discrete Boltzmann equation with initial values in \(L^ +_ 1{\mathbb{R}}\) ⋮ On the nonlinear Boltzmann equation in unbounded domains ⋮ On the thermodynamics of the discrete models of the Boltzmann equation for gas-mixtures

Cites Work

• On the discrete velocity models of the Boltzmann equation in several dimensions

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