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arXiv · 2303.14981

Linear Landau damping for a two-species Vlasov-Poisson system for electrons and ions

Lena Baumann·Marlies Pirner
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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.

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Lena Baumann, Marlies Pirner. 2023-03-27. Linear Landau damping for a two-species Vlasov-Poisson system for electrons and ions. https://arxiv.org/abs/2303.14981

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