Equilibrium Solution to the Inelastic Boltzmann Equation Driven by a Particles Thermal Bath

Abstract

We show the existence of smooth stationary solutions for the inelastic Boltzmann equation under the thermalization induced by a host-medium with a fixed distribution. This is achieved by controlling the Lp-norms, the moments and the regularity of the solutions for the Cauchy problem together with arguments related to a dynamical proof for the existence of stationary states.

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• Growth and Structure of Stochastic Sequences