In this paper we study the decay to the equilibrium state for the solution of the linear Boltzmann equation in the torus by allowing that the non-negative cross section can vanish in a subregion X of the domain with positive measure with respect to the Lebesgue measure. We show that the geometrical characterization of X is the key property to produce exponential decay to equilibrium.
On the exponential decay to equilibrium of the degenerate linear Boltzmann equation
SALVARANI, FRANCESCO
2013-01-01
Abstract
In this paper we study the decay to the equilibrium state for the solution of the linear Boltzmann equation in the torus by allowing that the non-negative cross section can vanish in a subregion X of the domain with positive measure with respect to the Lebesgue measure. We show that the geometrical characterization of X is the key property to produce exponential decay to equilibrium.File in questo prodotto:
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