{
  "abstract": "We establish a pointwise decay estimate for steady incompressible Navier--Stokes flows in two-dimensional channels with positive Navier friction coefficient. Specifically, for the arbitrary-flux solutions constructed by Sha, Wang, and Xie \\cite{SWX22f}, under suitable outlet conditions and weighted geometric bounds on the channel walls, we show \\[ |\\Bu(x_1,x_2)|\\le \\frac{C}{f(x_1)}, \\] where $f$ is the channel width. Our decay rate is optimal in the cross-sectional supremum norm when the prescribed flux is nonzero. The main difficulty is that rescaling by the local width changes the Navier friction coefficient into a potentially large parameter. The key technique is to establish a local Stokes boundary estimate uniform in this parameter.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27501",
  "author_total": 2,
  "authors": [
    {
      "name": "Han Li"
    },
    {
      "name": "Jingwen Han"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fwffv3qvcsf7v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27501",
  "fulltext_url": null,
  "id": "fwffv3qvcsf7v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27501",
  "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": "W7223158261",
  "pdf_url": "https://arxiv.org/pdf/2610.27501",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fwffv3qvcsf7v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2610.27501",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27501"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Pointwise decay of steady Navier--Stokes flows with Navier-slip boundary condition in two-dimensional channels",
  "title_text": "Pointwise decay of steady Navier--Stokes flows with Navier-slip boundary condition in two-dimensional channels",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/fwffv3qvcsf7v",
  "venue": "arXiv",
  "versions": []
}