{
  "abstract": "We study the two-dimensional stationary Navier-Stokes equations in an unbounded wedge with small rough perturbations of its angular boundaries. The Jeffery-Hamel flow in the corresponding straight wedge is taken as the effective background flow. Under a suitable small-flux condition, we prove the existence of weak solutions and establish an $H^1$-type energy error estimate of order $O(ε^2)$. For sufficiently small wedge angles, we further derive weighted estimates and improve the squared $L^2$-error to $O(ε^3)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.26736",
  "author_total": 2,
  "authors": [
    {
      "name": "Zijin Li"
    },
    {
      "name": "Xinghong Pan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dn69sk2aqtv3b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.26736",
  "fulltext_url": null,
  "id": "dn69sk2aqtv3b",
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  "landing_url": "https://arxiv.org/abs/2608.26736",
  "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": "W7204567812",
  "pdf_url": "https://arxiv.org/pdf/2608.26736",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dn69sk2aqtv3b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.26736",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.26736"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "A wall-law approximation for Jeffery-Hamel flows in rough wedges",
  "title_text": "A wall-law approximation for Jeffery-Hamel flows in rough wedges",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/dn69sk2aqtv3b",
  "venue": "arXiv",
  "versions": []
}