On a model of Borgnakke-Larsen type leading to nonlinear energy laws at temperatures for polyatomic perfect gases. (Sur un modèle de type Borgnakke-Larsen conduisant à des lois d’énergie non linéaires en température pour les gaz parfaits polyatomiques.) (French) Zbl 0894.35086

Desvillettes, Laurent

Ann. Fac. Sci. Toulouse, VI. Sér., Math. 6, No. 2, 257-262 (1997).

Summary: We generalize the class of models of interval energy for the Boltzmann equation (of Borgnakke-Larsen type). This allows us to obtain at the level of the macroscopic limit a wide class of laws of internal energy.

MSC:

35Q35	PDEs in connection with fluid mechanics
76P05	Rarefied gas flows, Boltzmann equation in fluid mechanics

Keywords:

interval energy; Boltzmann equation; laws of internal energy

References:

[1]	Bourgat, J.-F.), Desvillettes, L.), Le Tallec, P.) et Perthame, B.) .- Microreversible Collisions for Polyatomic Gases and Boltzmann’s Theorem, Eur. J. Mech., B/Fluids, 13, n° 2 (1994), pp. 237-254. · Zbl 0807.76067
[2]	Borgnakke, C.) et Larsen, P.S.).- Statistical collision model for Monte Carlo simulation of polyatomic gas mixtures, J. Comp. Phys.18 (1975), pp. 405-420.
[3]	Cercignani, C.).- The Boltzmann equation and its applications, Springer Verlag, Berlin (1988). · Zbl 0646.76001
[4]	Chapman, S.) et Cowling, T.G.).- The mathematical theory of non-uniform gases, Cambridge Univ. Press, London (1952). · Zbl 0049.26102
[5]	Truesdell, C.) et Muncaster, R.).- Fundamentals of Maxwell kinetic theory of a simple monoatomic gas, Acad. Press, New-York (1980).