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Название: The Dissipative Linear Boltzmann Equation for Hard Spheres
Авторы: Bertrand Lods, Giuseppe Toscani
We prove the existence and uniqueness of an equilibrium state with unit mass to the dissipative linear Boltzmann equation with hard-spheres collision kernel describing inelastic interactions of a gas particles with a ﬁxed background. The equilibrium state is a universal Maxwellian distribution function with the same
velocity as ﬁeld particles and with a non-zero temperature lower than the background one. Moreover thanks to the H-Theorem we prove strong convergence of the solution to the Boltzmann equation towards the equilibrium.