{
  "abstract": "This paper establishes the existence of local martingale solutions for a three-dimensional stochastic fluid--structure interaction (FSI) problem coupling a viscous compressible isentropic fluid with an elastic shell through Navier-slip boundary conditions. The fluid and shell are perturbed by compatible Stratonovich transport noise. A stochastic-flow transformation removes the stochastic transport integrals and produces a pathwise random FSI system whose pullback coefficients are only Hölder continuous in time. We combine a multi-layer approximation scheme with localization on bounded-flow events and freezing of the random coefficients on short deterministic time subintervals. The shell transport fields are not required to generate isometries: the bending-energy martingale and Itô correction are controlled at the natural $H^2$ level by commutator identities without derivative loss. Tightness is obtained in Jakubowski spaces, pressure compactness is proved through localized effective viscous flux, and the final artificial-pressure and penalty limit uses boundary-pressure tightness and $H^2$-graph trace tools. For $γ>3/2$ and non-colliding initial data, we obtain a martingale solution up to an almost surely positive stopping time.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23485",
  "author_total": 2,
  "authors": [
    {
      "name": "Chen Yong"
    },
    {
      "name": "Gao Hongjun"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bka91gdy9wzdf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23485",
  "fulltext_url": null,
  "id": "bka91gdy9wzdf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23485",
  "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.PR"
    ],
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7214012583",
  "pdf_url": "https://arxiv.org/pdf/2609.23485",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bka91gdy9wzdf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.23485",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23485"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Compressible stochastic fluid--structure interaction with transport noise and Navier slip: A stochastic-flow approach",
  "title_text": "Compressible stochastic fluid--structure interaction with transport noise and Navier slip: A stochastic-flow approach",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/bka91gdy9wzdf",
  "venue": "arXiv",
  "versions": []
}