{
  "abstract": "We construct non-trivial weak solutions \\theta\\in C_{t}^{0}C_{x}^{0-} to the surface quasi-geostrophic (SQG) equations, which have compact support in time and thus violate the conservation of the Hamiltonian. The result is sharp in view of the fact that such a conservation law holds for all weak solutions in the class C_{t,x}^{0} \\subset L_{t,x}^{3} (Isett and Vicol (2015)) and resolves the Onsager conjecture for SQG equations. The construction is achieved by means of a Nash iteration together with the linear decoupling method recently introduced by Giri and Radu (2023).",
  "abstract_shown": true,
  "affiliations": [
    "University of Illinois Chicago, USA",
    "ETH Zürich, Switzerland",
    "Princeton University, USA"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Mimi Dai",
      "orcid": "0000-0002-3193-2228"
    },
    {
      "affs": [
        1
      ],
      "name": "Vikram Giri",
      "orcid": "0000-0002-3047-9927"
    },
    {
      "affs": [
        2
      ],
      "name": "Răzvan-Octavian Radu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9mg8d6pf127a1.bib",
  "cited_by": 17,
  "doi": "10.4171/jems/1812",
  "fulltext_url": null,
  "id": "9mg8d6pf127a1",
  "issns": [
    "1435-9855",
    "1435-9863"
  ],
  "landing_url": "https://doi.org/10.4171/jems/1812",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
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  "openalex": "W7223098794",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": "European Mathematical Society",
  "ris": "https://research.draconitic.com/paper/9mg8d6pf127a1.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T13:20:35Z",
      "native_id": "W7223098794",
      "source": "openalex",
      "url": "https://doi.org/10.4171/jems/1812"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Navier-Stokes equation solutions",
      "subfield": "general"
    }
  ],
  "title": "An Onsager-type theorem for SQG equations",
  "title_text": "An Onsager-type theorem for SQG equations",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T13:20:35Z",
  "url": "https://research.draconitic.com/paper/9mg8d6pf127a1",
  "venue": "Journal of the European Mathematical Society",
  "versions": []
}