Stability and instability of small BGK waves

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Dongfen Bian, Emmanuel Grenier, Wenrui Huang, Benoît Pausader
DOI: 10.48550/arxiv.2601.10030
Cited by: 0

Abstract

The aim of this article is to prove that the linear stability or instability of small Bernstein-Green-Kruskal (BGK) waves is determined by the sign of the derivative of their energy distributions at $0$ energy.

Fields of Study & Subjects

Advanced Mathematical Physics Problems Nonlinear Waves and Solitons Dust and Plasma Wave Phenomena

Publication details

Journal / source
arXiv (Cornell University)
Publication date
15 January 2026
Document type
Preprint