{
  "abstract": "In this paper, we prove the existence and far-field behavior of an axisymmetric solution $(ρ,\\mathbf{u},p)$ to the steady Euler system in an infinitely long cylindrical nozzle with a perturbed wall $r=R(x_1)$, containing a contact discontinuity $r=g_D(x_1)$. The background flow carries a nonzero swirl component $β_0\\mathbf{e}_θ$, where $β_0$ is not necessarily small. Consequently, the background entropy, Bernoulli function, and angular momentum density depend on the radial variable, and their radial derivatives are not necessarily small.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.19821",
  "author_total": 2,
  "authors": [
    {
      "name": "Myoungjean Bae"
    },
    {
      "name": "Jong-Seo Yoon"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5ewwd1h2gh665.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.19821",
  "fulltext_url": null,
  "id": "5ewwd1h2gh665",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.19821",
  "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|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7213590940",
  "pdf_url": "https://arxiv.org/pdf/2609.19821",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5ewwd1h2gh665.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.19821",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.19821"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Contact discontinuities for 3-D axisymmetric flows with nonzero swirl",
  "title_text": "Contact discontinuities for 3-D axisymmetric flows with nonzero swirl",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/5ewwd1h2gh665",
  "venue": "arXiv",
  "versions": []
}