{
  "abstract": "We study steady axisymmetric Navier--Stokes flows with swirl in the circular cylinder $\\mathcal C_L=(0,L)\\times B_2(0,1)$ with the no-slip condition on the stationary lateral wall. For the leading Euler velocity $(u_e^0,w_e^0,θ_e^0)=(1,0,r K(r))$, where $K(r)=H(r^2)$ is a prescribed smooth radial function, we construct and justify a Prandtl expansion as $\\varepsilon \\to 0$ for sufficiently small fixed $L$. The expansion accounts for both axial and azimuthal boundary layers, including the case of a Blasius leading axial profile with nonzero swirl. Weighted estimates at the symmetry axis and coupled remainder estimates yield a uniform velocity error bound.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02492",
  "author_total": 4,
  "authors": [
    {
      "name": "Yan Guo"
    },
    {
      "name": "Hailiang Li"
    },
    {
      "name": "Xiangyu Ma"
    },
    {
      "name": "Mingyue Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ax20qgq6d5hat.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02492",
  "fulltext_url": null,
  "id": "ax20qgq6d5hat",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02492",
  "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/2611.02492",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ax20qgq6d5hat.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.02492",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02492"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Validity of three-dimensional axisymmetric steady Prandtl expansion",
  "title_text": "Validity of three-dimensional axisymmetric steady Prandtl expansion",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/ax20qgq6d5hat",
  "venue": "arXiv",
  "versions": []
}