{
  "abstract": "We establish the global pathwise well-posedness and a Freidlin--Wentzell large deviation principle for the three-dimensional viscous primitive equations driven by multiplicative Lévy noise represented by a compensated Poisson random measure. Under local Lipschitz and moment growth assumptions on the noise coefficient, we construct local martingale solutions and obtain a unique maximal pathwise solution with càdlàg trajectories in the $H^1$ energy space. Additional sixth-moment growth in $H^1$ and $L^6$ growth bounds on the baroclinic component of the noise yield global pathwise well-posedness. The proof combines the jump Itô formula with baroclinic and anisotropic energy estimates to rule out finite-time blow-up. Under further exponential integrability and structural assumptions on the noise coefficient, we establish a Freidlin--Wentzell large deviation principle in a strong path topology by the weak convergence approach.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07274",
  "author_total": 3,
  "authors": [
    {
      "name": "Zhuoyang Shen"
    },
    {
      "name": "Xinhua Li"
    },
    {
      "name": "Chunyou Sun"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9hakxn948adt3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07274",
  "fulltext_url": null,
  "id": "9hakxn948adt3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07274",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07274",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9hakxn948adt3.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07274",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07274"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Well-posedness and large deviations for 3D primitive equations with jumps",
  "title_text": "Well-posedness and large deviations for 3D primitive equations with jumps",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:47Z",
  "url": "https://research.draconitic.com/paper/9hakxn948adt3",
  "venue": "arXiv",
  "versions": []
}