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Galilean invariant kinetic models with discrete velocity distribution. (Modèles cinétiques à répartition discrète des vitesses et à invariance galiléenne.) (French) Zbl 0791.76075

Summary: One derives new discrete kinetic models in the spirit of Broadwell and Cabannes, which are Galiliean invariant. The counterpart of this property is the loss of semilinearity. These models become quasilinear and non- conservative. The propagation speeds are though quite simple, these are particle velocities. Consequently, the geometrical optics, when applied to these models, does not yield to focusing.

MSC:

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82B40 Kinetic theory of gases in equilibrium statistical mechanics
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
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References:

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