{
  "abstract": "We study the existence and vanishing viscosity limit of steady incompressible Navier-Stokes flows in a horizontally periodic strip with no slip boundary conditions and midline symmetric forcing. Taking a Poiseuille flow as the leading order Euler profile, we construct higher order symmetric approximate solutions and establish the existence of a symmetric solution to the associated nonlinear error equation. Under suitable compatibility conditions on the forcing, this construction yields a family of midline symmetric steady Navier-Stokes solutions that converges to the prescribed Poiseuille flow at the optimal rate.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18280",
  "author_total": 3,
  "authors": [
    {
      "name": "Zeyu Jia"
    },
    {
      "name": "Jia Song"
    },
    {
      "name": "Tao Tao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8fsh834jac2ha.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18280",
  "fulltext_url": null,
  "id": "8fsh834jac2ha",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18280",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2609.18280",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8fsh834jac2ha.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:04Z",
      "native_id": "2609.18280",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18280"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Steady symmetric Navier-Stokes flow near Poiseuille flow: existence and vanishing viscosity limit",
  "title_text": "Steady symmetric Navier-Stokes flow near Poiseuille flow: existence and vanishing viscosity limit",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/8fsh834jac2ha",
  "venue": "arXiv",
  "versions": []
}