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:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/727019
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 13
social impact