Quantitative tauberian approach to collisionless transport equations with diffuse boundary operators
Analysis of PDEs
2020-05-27 v1 Mathematical Physics
math.MP
Abstract
This paper gives a spectral approach to time asymptotics of collisionless transport semi-groups with general diffuse boundary operators. The strong stability of the invariant density is derived from the classical Ingham theorem. A recent quantitative version of this theorem provides algebraic rates of convergence to equilibrium.
Cite
@article{arxiv.2005.12583,
title = {Quantitative tauberian approach to collisionless transport equations with diffuse boundary operators},
author = {Bertrand Lods and Mustapha Mokhtar-Kharroubi},
journal= {arXiv preprint arXiv:2005.12583},
year = {2020}
}