{
  "abstract": "We consider mixing for a scalar advected by random vector fields, such as solutions to stochastic fluid equations. Our main abstract result is that contraction in expectation of a negative Sobolev norm of the scalar (negative-regularity mixing) is stable under perturbations of the joint scalar-velocity process. We apply the result in three settings: mixing for a hyperviscous Boussinesq-type system where the scalar actively drives the velocity, mixing for a passive scalar advected by two-dimensional Navier-Stokes driven by smooth-in-time stochastic forcing, and a black-box proof that negative-regularity mixing implies enhanced dissipation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03519",
  "author_total": 3,
  "authors": [
    {
      "name": "Antonio Agresti"
    },
    {
      "name": "William Cooperman"
    },
    {
      "name": "Patrick Flynn"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/89ykerywew74c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03519",
  "fulltext_url": null,
  "id": "89ykerywew74c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03519",
  "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.DS"
    ],
    [
      "arxiv",
      "math.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03519",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/89ykerywew74c.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03519",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03519"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Stability of negative-regularity mixing and applications to stochastic fluids",
  "title_text": "Stability of negative-regularity mixing and applications to stochastic fluids",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:14Z",
  "url": "https://research.draconitic.com/paper/89ykerywew74c",
  "venue": "arXiv",
  "versions": []
}