{
  "abstract": "This paper studies the three-dimensional Vlasov--Poisson system with gyroscopic forces and velocity diffusion. For the Cauchy problem in $\\mathbb R^3$ and the specular--Dirichlet problem in bounded domains, we prove the propagation of velocity moments of order $k>2$ for weak solutions with bounded $L^1\\cap L^{\\infty}$ norms and kinetic energy. The proof applies Serre's compensated integrability to weighted mass--momentum tensors to derive density estimates. A finite iteration alternating moment propagation with improved density integrability then closes the estimates. These estimates provide a simplified approach to moment propagation and yield global continuation of classical solutions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21745",
  "author_total": 1,
  "authors": [
    {
      "name": "Jingpeng Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bbdtkfk0yed4m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21745",
  "fulltext_url": null,
  "id": "bbdtkfk0yed4m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21745",
  "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": "W7222420316",
  "pdf_url": "https://arxiv.org/pdf/2610.21745",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bbdtkfk0yed4m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21745",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21745"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Moment Propagation for the Vlasov--Poisson System with Gyroscopic Forces, Velocity Diffusion, and Specular Reflection",
  "title_text": "Moment Propagation for the Vlasov--Poisson System with Gyroscopic Forces, Velocity Diffusion, and Specular Reflection",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/bbdtkfk0yed4m",
  "venue": "arXiv",
  "versions": []
}