{
  "abstract": "To date, a Leray's weak solution to the Navier-Stokes equations enjoys an energy inequality. We prove the existence of a weak solution that enjoys the energy equality. The existence of the weak solution is achieved as limit of solutions to the mollified Navier-Stokes system (Leray's approach). Since no uniqueness result is known for weak solutions we are not able to claim that any weak solution in the sense of Leray-Hopf enjoys the energy equality.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35517",
  "author_total": 2,
  "authors": [
    {
      "name": "Paolo Maremonti"
    },
    {
      "name": "Alfonsina Tartaglione"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dr1fd9hsy4f1j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35517",
  "fulltext_url": null,
  "id": "dr1fd9hsy4f1j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35517",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7223876044",
  "pdf_url": "https://arxiv.org/pdf/2610.35517",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dr1fd9hsy4f1j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.35517",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35517"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Existence of a weak solution to the Navier-Stokes equations enjoying the energy equality",
  "title_text": "Existence of a weak solution to the Navier-Stokes equations enjoying the energy equality",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/dr1fd9hsy4f1j",
  "venue": "arXiv",
  "versions": []
}