{
  "abstract": "We consider solutions to the two-dimensional Navier-Stokes and Euler equations with the velocity in $L^{\\infty}(\\mathbb{R}^2)$ and the vorticity in the uniformly local Yudovich space $Y^θ_{ul}(\\mathbb{R}^2)$. We show that if $θ$ grows sufficiently slowly, then for every $T>0$, solutions of the Navier-Stokes equation converge to solutions of the Euler equation in $L^{\\infty}([0,T];L^2_{ul}(\\mathbb{R}^2))$ as $ν\\to 0^+$, provided they are generated from the same initial data.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13898",
  "author_total": 1,
  "authors": [
    {
      "name": "Zachary Radke"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0j8ycfa126n3p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13898",
  "fulltext_url": null,
  "id": "0j8ycfa126n3p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13898",
  "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.AP"
    ],
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7221551039",
  "pdf_url": "https://arxiv.org/pdf/2610.13898",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0j8ycfa126n3p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13898",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13898"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The Inviscid Limit in Uniformly Local Yudovich Spaces",
  "title_text": "The Inviscid Limit in Uniformly Local Yudovich Spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/0j8ycfa126n3p",
  "venue": "arXiv",
  "versions": []
}