{
  "abstract": "We derive the pressureless Euler-Maxwell system as a semiclassical limit from the Maxwell-Schrödinger equation. The method relies on studying a quantum modulated energy accounting for the self-consistent magnetic effects. Crucially, a correction is incorporated in the quantum modulated energy as to enable to close the Grönwall estimate provided a smallness assumption on the initial data is imposed. This is the first result on the semiclassical limit of the Maxwell-Schrödinger equation avoiding any regularization or conditional uniform in $\\hbar$ bounds on the wave",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11199",
  "author_total": 1,
  "authors": [
    {
      "name": "Immanuel Ben Porat"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fbbjkhwkf13cv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11199",
  "fulltext_url": null,
  "id": "fbbjkhwkf13cv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11199",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7221137230",
  "pdf_url": "https://arxiv.org/pdf/2610.11199",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fbbjkhwkf13cv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2610.11199",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11199"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "From the Maxwell-Schrödinger equation to the Euler-Maxwell equation in the semiclassical limit",
  "title_text": "From the Maxwell-Schrödinger equation to the Euler-Maxwell equation in the semiclassical limit",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/fbbjkhwkf13cv",
  "venue": "arXiv",
  "versions": []
}