{
  "abstract": "This paper proves local propagation of momentum moments of order $k\\ge5/2$ for the three-dimensional relativistic Vlasov--Poisson system. In the Coulomb case, this improves the previous result which requires integer moments of order $k\\ge3$. The proof adapts the critical density method developed in our recent work on the classical Vlasov--Poisson equation. We introduce a weighted kinetic tensor adapted to the relativistic velocity and obtain the critical density estimate. This estimate then allows us to close the moment argument by a short-time bootstrap.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07738",
  "author_total": 1,
  "authors": [
    {
      "name": "Zhaopeng Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/abwr420hqzagt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07738",
  "fulltext_url": null,
  "id": "abwr420hqzagt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07738",
  "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.AP"
    ],
    [
      "openalex",
      "2604|Gas Dynamics and Kinetic Theory"
    ]
  ],
  "openalex": "W7220895025",
  "pdf_url": "https://arxiv.org/pdf/2610.07738",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/abwr420hqzagt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.07738",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07738"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Local Propagation of Momentum Moments for the Relativistic Vlasov--Poisson System",
  "title_text": "Local Propagation of Momentum Moments for the Relativistic Vlasov--Poisson System",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/abwr420hqzagt",
  "venue": "arXiv",
  "versions": []
}