We consider the linear Boltzmann equation under the effect of an absorbing moving barrier. We prove the existence and uniqueness of the solution and consider the problem of the time-asymptotic convergence to equilibrium. We then propose a numerical strategy to study the problem and provide quantitative results concerning some relevant test cases.

On the linear Boltzmann equation in evolutionary domains with absorbing boundary

SALVARANI, FRANCESCO
2013-01-01

Abstract

We consider the linear Boltzmann equation under the effect of an absorbing moving barrier. We prove the existence and uniqueness of the solution and consider the problem of the time-asymptotic convergence to equilibrium. We then propose a numerical strategy to study the problem and provide quantitative results concerning some relevant test cases.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/726819
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