{
  "abstract": "We study the persistence of the Meissner state in the three-dimensional magnetic Ginzburg--Landau model with a spatially dependent pinning term. Factoring out the equilibrium profile associated with the pinning term reduces the problem to the analysis of a weighted Ginzburg--Landau functional. In the extreme type-II regime, we construct locally minimizing vortexless configurations for applied fields extending far beyond the first critical field. We obtain quantitative estimates showing that these configurations remain close, up to gauge transformations, to a Meissner-type state determined by a weighted London problem. We also prove the uniqueness, up to gauge transformations, of the locally minimizing Meissner-type branch within a quantitatively controlled class of local minimizers. A central difficulty is to derive elliptic estimates that remain uniform in the Ginzburg--Landau parameter in the presence of the resulting spatially dependent weight. Under a small-BMO assumption on this weight, we obtain the required regularity and extend to the three-dimensional pinned setting the metastability picture previously established for the homogeneous model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00398",
  "author_total": 1,
  "authors": [
    {
      "name": "Carlos Román"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6xf76cdmq5zsd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00398",
  "fulltext_url": null,
  "id": "6xf76cdmq5zsd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00398",
  "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-ph"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00398",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6xf76cdmq5zsd.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00398",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00398"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Metastability of the Meissner state in the three-dimensional Ginzburg--Landau model with pinning",
  "title_text": "Metastability of the Meissner state in the three-dimensional Ginzburg--Landau model with pinning",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/6xf76cdmq5zsd",
  "venue": "arXiv",
  "versions": []
}