Equilibrium Solution to the Inelastic Boltzmann Equation Driven by a Particles Thermal Bath
Analysis of PDEs
2009-11-13 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0805.3283,
title = {Equilibrium Solution to the Inelastic Boltzmann Equation Driven by a Particles Thermal Bath},
author = {Marzia Bisi and Jose A. Carrillo and Bertrand Lods},
journal= {arXiv preprint arXiv:0805.3283},
year = {2009}
}