Geodesic
On discrete models of the~quantum Boltzmann equation
Sbornik. Mathematics, Tome 80 (1995) no. 2, pp. 271-285

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A certain class of discrete models for the quantum Boltzmann equation is proposed. In the case of fermions a theorem of existence and uniqueness in the large is proved. In the case of bosons such a theorem is proved for models with the maximum principle. For one simple model analytic solution of the traveling wave problem is given. 
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     author = {V. V. Vedenyapin and I. V. Mingalev and O. V. Mingalev},
     title = {On discrete models of the~quantum {Boltzmann} equation},
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V. V. Vedenyapin; I. V. Mingalev; O. V. Mingalev. On discrete models of the~quantum Boltzmann equation. Sbornik. Mathematics, Tome 80 (1995) no. 2, pp. 271-285. http://geodesic.mathdoc.fr/item/SM_1995_80_2_a1/