{
  "abstract": "We study the long-time behavior of the infinite-energy solutions to the white-forced Navier--Stokes equation in an infinite pipe $\\mathbb{R}\\times (-1,1)$ with no-slip boundary conditions. The equation is globally well-posed in uniformly local spaces satisfying the divergence-free condition. Under suitable degeneracy and spatial decay assumptions on the noise, we prove the uniqueness of the invariant measure and establish polynomial mixing in the dual-Lipschitz metric. This provides an affirmative answer to Open Problem 1 posed by Kuksin and Shirikyan \\cite{KS17} in the case of zero cross-sectional flux.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.15216",
  "author_total": 1,
  "authors": [
    {
      "name": "Meng Zhao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/27718tj101nza.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15216",
  "fulltext_url": null,
  "id": "27718tj101nza",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.15216",
  "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"
    ],
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7221746942",
  "pdf_url": "https://arxiv.org/pdf/2610.15216",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/27718tj101nza.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.15216",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15216"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Polynomial mixing for infinite-energy solutions of the white-forced Navier--Stokes equation in an infinite pipe",
  "title_text": "Polynomial mixing for infinite-energy solutions of the white-forced Navier--Stokes equation in an infinite pipe",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/27718tj101nza",
  "venue": "arXiv",
  "versions": []
}