Equilibrium Solution to the Inelastic Boltzmann Equation Driven by a Particle Bath

@article{Bisi2008EquilibriumST,
  title={Equilibrium Solution to the Inelastic Boltzmann Equation Driven by a Particle Bath},
  author={Marzia Bisi and Jos{\'e} A. Carrillo and Bertrand Lods},
  journal={Journal of Statistical Physics},
  year={2008},
  volume={133},
  pages={841-870}
}
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 to the Cauchy problem together with arguments related to a dynamical proof for the existence of stationary states. 

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