{
  "abstract": "We prove an Obukhov-Corrsin-Yaglom-type law for passive scalars advected by a family of random $C^α$ velocity field proposed in \\cite{JDEMS} as a kinematic model of turbulent fluids. Up to a technical assumption on one parameter, the expectation of the squared $L^2_t H^γ_x$ norm of solutions to the passive scalar equation is bounded by the squared $L^2$ norm of the deterministic initial datum, uniformly in the viscosity, whenever $α+ 2γ< 1$. The proof is based on a new insight in the theory developed by \\cite{FM} to prove Richardson's dispersion and anomalous dissipation for the same model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07076",
  "author_total": 1,
  "authors": [
    {
      "name": "Camillo De Lellis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/41gdag0qd0afh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07076",
  "fulltext_url": null,
  "id": "41gdag0qd0afh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07076",
  "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",
      "math.AP"
    ],
    [
      "arxiv",
      "math.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07076",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/41gdag0qd0afh.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07076",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07076"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "An Obukhov-Corrsin-Yaglom law for a kinematic model of turbulence",
  "title_text": "An Obukhov-Corrsin-Yaglom law for a kinematic model of turbulence",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:47Z",
  "url": "https://research.draconitic.com/paper/41gdag0qd0afh",
  "venue": "arXiv",
  "versions": []
}