English

Modified scattering for small data solutions to the Vlasov-Maxwell system: a short proof

Analysis of PDEs 2025-06-23 v2 Mathematical Physics math.MP

Abstract

We prove that for any global solution to the Vlasov-Maxwell system arising from compactly supported data, and such that the electromagnetic field decays fast enough, the distribution function exhibits a modified scattering dynamic. In particular, our result applies to every small data solution constructed by Glassey-Strauss.

Keywords

Cite

@article{arxiv.2503.01677,
  title  = {Modified scattering for small data solutions to the Vlasov-Maxwell system: a short proof},
  author = {Emile Breton},
  journal= {arXiv preprint arXiv:2503.01677},
  year   = {2025}
}

Comments

14 pages

R2 v1 2026-06-28T22:04:51.325Z