{
  "abstract": "We study the momentum equation of the decoupled unregularised Hibler sea-ice model with non-negative ice mass and ice strength, both of which may vanish. The ocean drag provides coercivity, while the stress law and mixed boundary conditions are encoded by a convex dissipation functional. We prove existence, uniqueness and stability for the time-discrete problem and reconstruct an admissible stress. A Rothe approximation yields global weak variational solutions for time-dependent coefficients under a one-sided growth condition on the mass. Weak solutions are unique when the ice strength is independent of time. For spatially Lipschitz ice strength, finite dissipation also yields a local measure structure of the weighted deformation and a global bound on the negative part of the weighted divergence.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12925",
  "author_total": 1,
  "authors": [
    {
      "name": "Henrik Schneider"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/acr2sdsgz9gvw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12925",
  "fulltext_url": null,
  "id": "acr2sdsgz9gvw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12925",
  "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",
      "2206|Advanced Numerical Methods in Computational Mathematics"
    ]
  ],
  "openalex": "W7212943809",
  "pdf_url": "https://arxiv.org/pdf/2609.12925",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/acr2sdsgz9gvw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:11Z",
      "native_id": "2609.12925",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12925"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Weak Solutions for the Unregularised Hibler Momentum Equation with Degenerate Coefficients",
  "title_text": "Weak Solutions for the Unregularised Hibler Momentum Equation with Degenerate Coefficients",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/acr2sdsgz9gvw",
  "venue": "arXiv",
  "versions": []
}