{
  "abstract": "In this paper we study the convergence of solutions of the Stokes equations in a domain perforated by slender bodies placed on a fixed periodic grid of size $2ε$ as the size of the bodies goes to zero and the number of bodies goes to infinity. We assume that the width $b_ε$ of the bodies vanishes faster than the length $a_ε$ of the particles. We identify the critical scaling regimes for $a_ε$ and $b_ε$ and prove that in this case the system is effectively described by the Brinkman equations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31480",
  "author_total": 2,
  "authors": [
    {
      "name": "Pascal Hadré"
    },
    {
      "name": "Richard M. Höfer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9xaxwa3nnrbmy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31480",
  "fulltext_url": null,
  "id": "9xaxwa3nnrbmy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31480",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "1703|Advanced Mathematical Modeling in Engineering"
    ]
  ],
  "openalex": "W7223339898",
  "pdf_url": "https://arxiv.org/pdf/2610.31480",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9xaxwa3nnrbmy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.31480",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31480"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Homogenization of the Stokes equations with slender bodies",
  "title_text": "Homogenization of the Stokes equations with slender bodies",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/9xaxwa3nnrbmy",
  "venue": "arXiv",
  "versions": []
}