{
  "abstract": "We justify the vortex-wave system introduced by Marchioro and Pulvirenti in the 1990s as the vanishing-viscosity limit of the two-dimensional Navier-Stokes equations on every prescribed finite time interval. The initial vorticity consists of a point vortex and a smooth, compactly supported background that vanishes near the vortex. The regular component converges strongly to the background vorticity governed by the vortex-wave system, while the concentrated component is approximated by a Lamb-Oseen vortex centered on the limiting point-vortex trajectory. We obtain quantitative estimates for both components, with constants and a viscosity threshold depending on the chosen time interval, thereby providing a global-in-time justification of the vortex-wave system for this class of initial data.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.32233",
  "author_total": 1,
  "authors": [
    {
      "name": "Trinh T. Nguyen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cmp6vbvm91y9c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32233",
  "fulltext_url": null,
  "id": "cmp6vbvm91y9c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.32233",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7214802269",
  "pdf_url": "https://arxiv.org/pdf/2609.32233",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cmp6vbvm91y9c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2609.32233",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32233"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Global-in-time inviscid limit of the Navier-Stokes equations for vortex-wave data",
  "title_text": "Global-in-time inviscid limit of the Navier-Stokes equations for vortex-wave data",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/cmp6vbvm91y9c",
  "venue": "arXiv",
  "versions": []
}