Hamdache, Kamel 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 J. Méc. Théor. Appl. 3, 761-785 (1984). 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. Cited in 1 ReviewCited in 7 Documents MSC: 76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics 82B05 Classical equilibrium statistical mechanics (general) Keywords:Tartar method; discrete models; Boltzmann equation; a priori estimates; collision operator; global existence; asymptotic behaviour × Cite Format Result Cite Review PDF