On the linear Boltzmann equation in evolutionary domains with absorbing boundary

Francesco Salvarani (1)

1 Dipartimento di matematica F. Casorati

We consider the linear Boltzmann equation in $\R^d$, $d\in\N$, under the effect of an absorbing moving barrier. We prove 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.

Domaines: Equations aux dérivées partielles [math.AP]

Francesco Salvarani. On the linear Boltzmann equation in evolutionary domains with absorbing boundary. 2013. ⟨hal-00803456v2⟩