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Existence globale et comportement asymptotique pour l’équation de Boltzmann à répartition discrète des vitesses. (Global existence and asymptotic behaviour results for the discrete velocity models of the Boltzmann equation). (French) Zbl 0605.76091
We give a generalization to \({\mathbb{R}}^ 3\) for the Tartar method developed for the study of the discrete models of the Boltzmann equation. We construct spaces and we establish a priori estimates for the collision operator. We get global existence, asymptotic behaviour of the solution.

MSC:
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82B05 Classical equilibrium statistical mechanics (general)
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