{
  "abstract": "In this article, we derive a new effective interface condition between two parts of a partially porous medium. We study the steady-state Poisson equation in a two-dimensional domain that combines an upper porous part with a periodic microstructure and a lower free region. Using the homogenization approach and a formal asymptotic expansion, we establish a second-order correction to the classical interface condition that accounts for microscale effects, including those arising from both the local flux and the source term redistribution across the interface. This refinement is essential for high-precision applications in which the pore size is small but not negligible compared to the system scale.",
  "abstract_shown": true,
  "affiliations": [
    "Univ. of Zagreb, Croatia"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Tomislav Fratrovic"
    },
    {
      "affs": [
        0
      ],
      "name": "Eduard Marusic-Paloka"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0pg2kzvdymp4h.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": "http://ejde.math.txstate.edu/Volumes/2026/61/abstr.html",
  "id": "0pg2kzvdymp4h",
  "issns": [
    "1072-6691"
  ],
  "landing_url": "http://ejde.math.txstate.edu/Volumes/2026/61/abstr.html",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "QA1-939"
    ]
  ],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-01",
  "publisher": "Texas State University",
  "ris": "https://research.draconitic.com/paper/0pg2kzvdymp4h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:44:05Z",
      "native_id": "45fcc71f86de41c4b8333a8829cbe4ca",
      "source": "doaj",
      "url": "http://ejde.math.txstate.edu/Volumes/2026/61/abstr.html"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "lcc:QA1-939",
      "subfield": "general"
    }
  ],
  "title": "Interface condition for the Poisson equation in a partially porous medium",
  "title_text": "Interface condition for the Poisson equation in a partially porous medium",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:44:05Z",
  "url": "https://research.draconitic.com/paper/0pg2kzvdymp4h",
  "venue": "Electronic Journal of Differential Equations",
  "versions": []
}