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

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

2008-05-21

arxiv.org/abs/0805.3283v1

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s10955-008-9636-6

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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