{
  "abstract": "We study a fully discrete approximation theory for the two-dimensional incompressible Euler equations on $\\mathbb{T}^{2}$, in vorticity form, driven by Kraichnan-type transport noise and with $\\mathbb{H}^{-1}(\\mathbb{T}^2)$-valued initial vorticity. The main new ingredient is a finite-dimensional coercivity estimate for the torus Kraichnan model, which captures at the discrete level the regularizing mechanism induced by the rough transport noise. Together with a new compactness strategy based on continuous equation-based interpolants and localized discrete estimates, this coercivity estimate gives tightness of the approximations and shows that subsequential limit is a weak martingale solution of the Euler equations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.31369",
  "author_total": 3,
  "authors": [
    {
      "name": "Abhishek Chaudhary"
    },
    {
      "name": "Ujjwal Koley"
    },
    {
      "name": "Andreas Prohl"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0qqe2qezvg34b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31369",
  "fulltext_url": null,
  "id": "0qqe2qezvg34b",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31369",
  "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",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7214655674",
  "pdf_url": "https://arxiv.org/pdf/2609.31369",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0qqe2qezvg34b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.31369",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31369"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Convergence of a fully discrete approximation for the stochastic 2D Euler equations with Kraichnan transport noise",
  "title_text": "Convergence of a fully discrete approximation for the stochastic 2D Euler equations with Kraichnan transport noise",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/0qqe2qezvg34b",
  "venue": "arXiv",
  "versions": []
}