{
  "abstract": "We study a finite-time source-driven transition in axisymmetric Euler flow with swirl. For an explicit smooth compact datum, we prove exact source, moment-return, fixed-label transport, and response identities. For the same frozen finite reference, interval arithmetic gives continuum derivative bounds and a terminal scalar-trace enclosure. Under the remaining global comparison hypotheses, these estimates imply contraction of two fixed material labels and a finite-radius outgoing level set. We state separately the unresolved steps: global defect enclosure, sufficient next-block admission, cylindrical whole-space realization, and repeated regeneration from one datum. No whole-space Euler singularity is claimed",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.04526",
  "author_total": 1,
  "authors": [
    {
      "name": "Rishad Shahmurov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eerr6n50dhqj3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.04526",
  "fulltext_url": null,
  "id": "eerr6n50dhqj3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.04526",
  "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": "W7160515644",
  "pdf_url": "https://arxiv.org/pdf/2605.04526",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eerr6n50dhqj3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:11Z",
      "native_id": "2605.04526",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.04526"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Source-Driven Transitions in Axisymmetric Euler Flow",
  "title_text": "Source-Driven Transitions in Axisymmetric Euler Flow",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/eerr6n50dhqj3",
  "venue": "arXiv",
  "versions": []
}