{
  "abstract": "The Vlasov-Maxwell system with Newtonian particle transport is linearised about the Poisson equilibrium on $\\mathbb{R}^3$, with the speed of light $c$ treated as a large parameter. For uniformly controlled initial data, with transverse fields that may remain of order one, the difference between the Vlasov-Maxwell perturbation and its linearised Vlasov-Poisson counterpart is bounded uniformly in time by their initial discrepancy plus a term of order $c^{-1}$. The same estimate holds for their scattering states, and the rate in $c$ is sharp. The longitudinal dynamics are governed by the same Volterra equation as in linearised Vlasov-Poisson and undergo Landau damping. The transverse fields exhibit Klein-Gordon-type dispersion, and control of their accumulated effect along free transport yields the uniform comparison.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23908",
  "author_total": 1,
  "authors": [
    {
      "name": "Marnie Smith"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8sjyvnq0fzf26.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23908",
  "fulltext_url": null,
  "id": "8sjyvnq0fzf26",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23908",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2604|Gas Dynamics and Kinetic Theory"
    ]
  ],
  "openalex": "W7214050432",
  "pdf_url": "https://arxiv.org/pdf/2609.23908",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8sjyvnq0fzf26.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.23908",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23908"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "The uniform-in-time electrostatic limit of the linearised Vlasov-Maxwell system: the Poisson equilibrium",
  "title_text": "The uniform-in-time electrostatic limit of the linearised Vlasov-Maxwell system: the Poisson equilibrium",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/8sjyvnq0fzf26",
  "venue": "arXiv",
  "versions": []
}