{
  "abstract": "For all $$\\alpha \\in (0,1)$$ α ∈ ( 0 , 1 ) , we construct an explicit divergence-free vector field $$V\\in L^\\infty _tC^\\alpha _x \\cap C^{\\frac{\\alpha }{1-\\alpha }}_t L^\\infty _x$$ V ∈ L t ∞ C x α ∩ C t α 1 - α L x ∞ so that the solutions to the drift–diffusion equations $$\\begin{aligned} \\partial _t\\theta ^\\kappa -\\kappa \\Delta \\theta ^\\kappa +V\\cdot \\nabla \\theta ^\\kappa =0 \\end{aligned}$$ ∂ t θ κ - κ Δ θ κ + V · ∇ θ κ = 0 exhibit asymptotic total dissipation for all mean-zero initial data: $$\\lim _{\\kappa \\rightarrow 0}\\Vert \\theta ^\\kappa (1,\\cdot )\\Vert _{L^2}=0$$ lim κ → 0 ‖ θ κ ( 1 , · ) ‖ L 2 = 0 . Additionally, we give explicit rates in $$\\kappa $$ κ and uniform dependence on initial data.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, USA",
    "Courant Institute of Mathematical Sciences, New York University, New York City, USA"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Elias Hess-Childs",
      "orcid": "0000-0001-6530-7837"
    },
    {
      "affs": [
        1
      ],
      "name": "Keefer Rowan",
      "orcid": "0000-0002-4059-3985"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/axyta65z0tap2.bib",
  "cited_by": 16,
  "doi": "10.1007/s00220-026-05771-6",
  "fulltext_url": null,
  "id": "axyta65z0tap2",
  "issns": [
    "0010-3616",
    "1432-0916"
  ],
  "landing_url": "https://doi.org/10.1007/s00220-026-05771-6",
  "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"
    ]
  ],
  "openalex": "W4407012559",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/s00220-026-05771-6.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": "Springer Science+Business Media",
  "ris": "https://research.draconitic.com/paper/axyta65z0tap2.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T13:20:36Z",
      "native_id": "W4407012559",
      "source": "openalex",
      "url": "https://doi.org/10.1007/s00220-026-05771-6"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "journal-openalex:2610|Spectral Theory in Mathematical Physics",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "A Universal Total Anomalous Dissipator",
  "title_text": "A Universal Total Anomalous Dissipator",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:21:00Z",
  "url": "https://research.draconitic.com/paper/axyta65z0tap2",
  "venue": "Communications in Mathematical Physics",
  "versions": []
}