A. A. Arsen'ev, O. E. Buryak, “On the connection between the solutions of the Boltzman and the Landau–Fokker–Planck equations”, Mat. Sb., 1990, Volume 181, Number 4,Pages <nobr>435

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On the connection between the solutions of the Boltzman and the Landau–Fokker–Planck equations

A. A. Arsen'ev, O. E. Buryak

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences

Abstract: 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.

UDC: 517.958+519.2

MSC: 76P05, 82A40, 82A45

Received: 16.04.1988