S. O. Gladkov, I. G. Tabakova, “Some types of kinetic equations reducible to partial differential equations”, Prikl. Mekh. Tekh. Fiz., 2007, Volume 48, Issue 5,Pages <nobr>12

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Some types of kinetic equations reducible to partial differential equations

S. O. Gladkov, I. G. Tabakova

Moscow State Regional University, Moscow, 105005

Abstract: The possibility of passing from the kinetic equation to a partial differential equations is rigorously mathematically proved for the case of nearly elastic scattering processes. Some examples are considered.

Keywords: diffusion, quasi-elastic scattering, Boltzmann equation, Green function, laws of conservation of energy and momentum, photon, electron, phonon.

UDC: 539.1

Received: 03.10.2006