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

Baumann, Lena; Pirner, Marlies

Research article in edited proceedings (conference) | Peer reviewed

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 (Acta Math. 207(1):29–201, 2011, [12]), Villani (Landau Damping. Notes de cours, CEMRACS, 2010, [15]). Different from Mouhout and Villani (Acta Math. 207(1):29–201, 2011, [12]), Villani (Landau Damping. Notes de cours, CEMRACS, 2010, [15]), 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.

Details about the publication

Publisher: Parés, Carlos; Castro, Manuel; Morales de Luna, Tomas; Muñoz-Ruiz, Maria Luz
Book title: Hyperbolic Problems: Theory, Numerics, Applications. Volume II : HYP2022, Málaga, Spain, June 20-24, 2022 (Volume 2)
Page range: 259-270
Publishing company: Springer Nature
Place of publication: Cham
Title of series: SEMA SIMAI Springer Series (ISSN: 2199-3041)
Volume of series: 35
Status: Published
Release year: 2024
Conference: XVIII International Conference on Hyperbolic Problems, Málaga, Spain
ISBN: 978-3-031-55263-2
DOI: 10.1007/978-3-031-55264-9_22
Link to the full text: https://arxiv.org/abs/2303.14981
Keywords: Landau-damping; Vlasov-Poisson equation; gas mixtures

Authors from the University of Münster

Pirner, Marlies
Juniorprofessur für Angewandte Mathematik (Prof. Pirner)