A note on velocity distribution of free electrons in a gaseous host medium

摘要

Mild Solution of a spatially inhomogeneous initial-boundary value problem for the nonlinear Boltzmann equation is used for mathematical modelling of the velocity distribution function of free electrons in a partially ionized gas. Alternative results on existence, uniqueness and continuity of local solution to those presented earlier are established. The problem is assumed spatially inhomogeneous with external electric field and internal source. The solution is constructed iteratively using functional-analytic properties of the terms involved in the Boltzmann equation.