{
  "abstract": "We study the inviscid limit of the two-dimensional Navier--Stokes equations with initial vorticity given by three point vortices whose inviscid trajectories collapse self-similarly at $t=1$. For every fixed $0<γ<1$, we prove that the solution is approximated by a superposition of Lamb--Oseen vortices centered at the point-vortex positions, with an $L^1$ error of order $O(ν^{1-γ})$, uniformly for $0<t\\le T_ν=1-ν^γ$. We use coordinates adapted to the self-similar collapse and study a long-time inviscid limit problem on the interval $0<s\\leγ\\log(1/ν)$, with a time-dependent rescaled diffusion coefficient $η(s)$ that tends to zero as $s\\to\\infty$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25367",
  "author_total": 1,
  "authors": [
    {
      "name": "Trinh T. Nguyen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7sdta0aacwakt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25367",
  "fulltext_url": null,
  "id": "7sdta0aacwakt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25367",
  "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": "W7223040430",
  "pdf_url": "https://arxiv.org/pdf/2610.25367",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7sdta0aacwakt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.25367",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25367"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "The inviscid limit of 2D Navier-Stokes near a self-similar vortex collapse",
  "title_text": "The inviscid limit of 2D Navier-Stokes near a self-similar vortex collapse",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/7sdta0aacwakt",
  "venue": "arXiv",
  "versions": []
}