{
  "abstract": "We study periodic homogenization of a parabolic equation with linear, degenerate bulk terms in a perforated domain, with a monotone nonlinear Robin reaction of order $\\varepsilon$ on the pore walls. The storage coefficient may vanish on sets of positive measure, and the diagonal diffusion weights are not bounded below but satisfy an inverse-integrability condition. Under positivity of the mean storage, a quantitative cell-detection estimate yields strong compactness of the states and of the scaled traces. The effective equation has positive storage, a positive-definite diffusion matrix given by a weighted cell problem, and a nonlinear volume reaction obtained by averaging over the pore surface. We also prove a strong weighted-gradient corrector and uniform-in-time convergence of the dissipated and stored energies and of the states in the storage-weighted $L^2$ norm.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37787",
  "author_total": 3,
  "authors": [
    {
      "name": "Hermann Douanla"
    },
    {
      "name": "Rodrigue Kenne Bogning"
    },
    {
      "name": "Erick Tetsadjio"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8b6tt13hmcz9r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37787",
  "fulltext_url": null,
  "id": "8b6tt13hmcz9r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37787",
  "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/2610.37787",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8b6tt13hmcz9r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.37787",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37787"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Homogenization of degenerate parabolic equations with nonlinear Robin reactions in perforated domains",
  "title_text": "Homogenization of degenerate parabolic equations with nonlinear Robin reactions in perforated domains",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/8b6tt13hmcz9r",
  "venue": "arXiv",
  "versions": []
}