{
  "abstract": "We prove well-posedness for a stochastic Lin-Liu model of modified liquid crystals, coupling an incompressible fluid to a director field under transport and multiplicative noise. On smooth bounded domains in two dimensions, we prove global well-posedness for energy-class initial data, provided the leading coefficient of the polynomial director potential is positive. On the torus, we establish local well-posedness in time-weighted $L^p$-$L^q$ frameworks with Besov initial data, including regimes of low and negative regularity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38641",
  "author_total": 4,
  "authors": [
    {
      "name": "Gianmarco Del Sarto"
    },
    {
      "name": "Antoine Moneyron"
    },
    {
      "name": "Esmée Theewis"
    },
    {
      "name": "Tarek Zöchling"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4m6dhtcxsb9xh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38641",
  "fulltext_url": null,
  "id": "4m6dhtcxsb9xh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38641",
  "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"
    ],
    [
      "arxiv",
      "math.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38641",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4m6dhtcxsb9xh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38641",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38641"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Well-Posedness and Regularity for a Modified Liquid Crystal Model with Transport Noise",
  "title_text": "Well-Posedness and Regularity for a Modified Liquid Crystal Model with Transport Noise",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/4m6dhtcxsb9xh",
  "venue": "arXiv",
  "versions": []
}