{
  "abstract": "We study the sharp-interface limit of the two-dimensional incompressible Navier--Stokes/Allen--Cahn system with constant mobility and prove the existence of global integral varifold solutions to the coupled Navier--Stokes/mean curvature flow system. The limiting interface measure satisfies Brakke's inequality, and its normal velocity equals the sum of its mean curvature and the normal projection of the fluid velocity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04631",
  "author_total": 2,
  "authors": [
    {
      "name": "Yuning Liu"
    },
    {
      "name": "Yoshihiro Tonegawa"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2201xvygn8pyh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04631",
  "fulltext_url": null,
  "id": "2201xvygn8pyh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04631",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04631",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2201xvygn8pyh.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.04631",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04631"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The Sharp Interface Limit of the Two-Dimensional Navier--Stokes/Allen--Cahn System as a Brakke Flow",
  "title_text": "The Sharp Interface Limit of the Two-Dimensional Navier--Stokes/Allen--Cahn System as a Brakke Flow",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:38Z",
  "url": "https://research.draconitic.com/paper/2201xvygn8pyh",
  "venue": "arXiv",
  "versions": []
}