We present, and briefly comment on, the existence and uniqueness of the equilibrium solution of a linear Boltzmann equation describing dissipative interactions with a background. For a general collision kernel, it is shown that, provided the initial density has finite temperature, the equilibrium solution is given by a Maxwellian profile with a universal temperature which is lower than that corresponding to the background
On the linear Boltzmann equation for granular gases
LODS, BERTRAND
2006-01-01
Abstract
We present, and briefly comment on, the existence and uniqueness of the equilibrium solution of a linear Boltzmann equation describing dissipative interactions with a background. For a general collision kernel, it is shown that, provided the initial density has finite temperature, the equilibrium solution is given by a Maxwellian profile with a universal temperature which is lower than that corresponding to the background
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