Mathematical properties of inelastic scattering models in linear kinetic theory

摘要

In this paper we analyse properties of collision operators which occur in linear Boltzmann-Maxwell models with inelastic scattering. In particular, we prove the solvability of the Cauchy problem for such models. These results form a basis for further applications of these models and, in particular, for their asymptotic analysis and the derivation of the drift-diffusion approximation. [References: 24]