Geodesic
On discrete models of the kinetic Boltzmann equation
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 26 (1971) no. 3, pp. 1-56

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In this paper we discuss on simple models the connection between the kinetic equations and the equations of gas dynamics. We analyze the energy integrals of the gas dynamical model and elucidate their connections with Boltzmann's $H$-theorem. 
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     author = {S. K. Godunov and U. M. Sultangazin},
     title = {On discrete models of the kinetic {Boltzmann} equation},
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     year = {1971},
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S. K. Godunov; U. M. Sultangazin. On discrete models of the kinetic Boltzmann equation. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 26 (1971) no. 3, pp. 1-56. http://geodesic.mathdoc.fr/item/RM_1971_26_3_a0/