{
  "abstract": "We consider some new velocity estimates for general steady Navier-Stokes solutions in plane domains. Namely, we obtain some optimal estimates of the difference between mean values of the velocity over two concentric circles in terms of the $L^2$-norm of the vorticity in the annulus between the circles. The sharpness of the estimates is demonstrated by some unexpected counterexamples.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30844",
  "author_total": 2,
  "authors": [
    {
      "name": "Mikhail Korobkov"
    },
    {
      "name": "Zhixiang Zhuang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0z4tfd0fyttpn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30844",
  "fulltext_url": null,
  "id": "0z4tfd0fyttpn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30844",
  "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": "W7214618847",
  "pdf_url": "https://arxiv.org/pdf/2609.30844",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0z4tfd0fyttpn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.30844",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30844"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp Basic Velocity Estimates for the Plane Steady Navier--Stokes Equations through Vorticity",
  "title_text": "Sharp Basic Velocity Estimates for the Plane Steady Navier--Stokes Equations through Vorticity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/0z4tfd0fyttpn",
  "venue": "arXiv",
  "versions": []
}