English

Stability and instability of small BGK waves

Analysis of PDEs 2026-02-18 v2

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 00 energy.

Keywords

Cite

@article{arxiv.2601.10030,
  title  = {Stability and instability of small BGK waves},
  author = {Dongfen Bian and Emmanuel Grenier and Wenrui Huang and Benoit Pausader},
  journal= {arXiv preprint arXiv:2601.10030},
  year   = {2026}
}

Comments

87 pages, 5 figures; some improvements to presentation, references updated

R2 v1 2026-07-01T09:05:13.859Z