Linear Landau damping for a two-species Vlasov-Poisson system for electrons and ions
Analysis of PDEs
2023-06-22 v2
Abstract
This paper concerns the linear Landau damping for the two species Vlasov-Poisson system for ions and electrons near Penrose stable equilibria. The result is an extension of the result on the one species Vlasov-Poisson equation by Mouhout and Villani. Different from their work we do not describe the ions as a background species but as a species which is also described by a separate Vlasov equation. We show an exponential decay of the electric energy for the linearised system near Penrose stable equilibria.
Keywords
Cite
@article{arxiv.2303.14981,
title = {Linear Landau damping for a two-species Vlasov-Poisson system for electrons and ions},
author = {Lena Baumann and Marlies Pirner},
journal= {arXiv preprint arXiv:2303.14981},
year = {2023}
}