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

2024/07/03 by Renjun Duan, Zhiwen Zhang, Duan, Renjun +1
Engineering · Mathematics · #35Q83 #Analysis of PDEs (math.AP) #Elasticity and Material Modeling #Elasticity and Wave Propagation #FOS: Mathematics #Gas Dynamics and Kinetic Theory

paper · pdf · doi:10.48550/arxiv.2407.02822

openalex publication_date 2024/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we adopt an approach by Grenier, Nguyen and Rodnianski in \citeGNR for studying the nonlinear Landau damping of the two-species Vlasov-Poisson system in the phase space \mathbbT^d_x × ℝ^d_v 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 L² as well as derivatives up to only the first order.

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