On the connection between the solutions of the Boltzman and the Landau--Fokker--Planck equations
Sbornik. Mathematics, Tome 69 (1991) no. 2, pp. 465-478

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It is proved that a solution of the Boltzmann equation in the limit case of scattering by small angles tends to a solution of the Landau–Fokker–Planck equation.
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     title = {On the connection between the solutions of the {Boltzman} and the {Landau--Fokker--Planck} equations},
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A. A. Arsen'ev; O. E. Buryak. On the connection between the solutions of the Boltzman and the Landau--Fokker--Planck equations. Sbornik. Mathematics, Tome 69 (1991) no. 2, pp. 465-478. http://geodesic.mathdoc.fr/item/SM_1991_69_2_a9/