Asymptotic Behavior of Degenerate Linear Kinetic Equations with Non-Isothermal Boundary Conditions

Sat, 01 Feb 2025 00:00:00 +0000

This article is part of a larger project, in which I study rigorously kinetic equations in a domain with boundary conditions and non-variable temperature, with a particular emphasis on the Cercignani-Lampis boundary condition. This latter model for the reflection of gas particles at the boundary has gained popularity in the physics community following recent experiments (see references in the paper). After the study of the free-transport setting, this paper extends to collisional models, and in particular to the degenerate linear Boltzmann equations, and provide proofs of existence of non-equilibrium steady states along with a rate of convergence towards them.

Linear Boltzmann Equation | Armand Bernou

Asymptotic Behavior of Degenerate Linear Kinetic Equations with Non-Isothermal Boundary Conditions