A note on Landau damping of two-species Vlasov–Poisson system

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Authors: Renjun Duan, Zhiwen Zhang
Cited by: 0
References: 23

Abstract

Abstract In this note we adopt an approach by Grenier et al (2021 Math. Res. Lett. 28 1679–1702) for studying the nonlinear Landau damping of the two-species Vlasov–Poisson system in the phase space T x d × R v d with the dimension d ⩾ 1 . The main goal is twofold: one is to extend the one-species case to the two-species case where the electron mass is finite and the ion mass is sufficiently large, and the other is to modify the G -functional such that it involves the norm in L d + 1 instead of L 2 as well as derivatives up to only the first order.

Fields of Study & Subjects

Gas Dynamics and Kinetic Theory Elasticity and Wave Propagation Elasticity and Material Modeling

Publication details

Journal / source
Nonlinearity
Publisher
IOP Publishing
Volume
39
Issue
9
Pages
095015–095015
Publication date
10 September 2026
Language
EN