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Discrete-velocity models for kinetic nonequilibrium flows. (Modèles à vitesses discrètes pour le calcul d’écoulements hors équilibre cinétique.) (French. Abridged English version) Zbl 0917.35101

Summary: We study the minimum entropy principle on a discrete-velocity set. We use this result for defining discrete-velocity models of BGK equation and moment systems of Levermore. Finally, we prove some properties of these models.

MSC:

35Q35 PDEs in connection with fluid mechanics
39A12 Discrete version of topics in analysis
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82C40 Kinetic theory of gases in time-dependent statistical mechanics
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