{
  "abstract": "We prove the uniqueness of global solutions to the two dimensional barotropic compressible Navier--Stokes equations within the regularity class introduced by Danchin and Mucha [14], for general $C^1$ pressure laws. A crucial assumption is that both solutions have bounded divergence, locally integrable in time, which ensures that their densities remain bounded without excluding vacuum or requiring spatial regularity of the density.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18178",
  "author_total": 2,
  "authors": [
    {
      "name": "Lorenzo Pescatore"
    },
    {
      "name": "Alessandro Violini"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bez96qf1g47c9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18178",
  "fulltext_url": null,
  "id": "bez96qf1g47c9",
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  "landing_url": "https://arxiv.org/abs/2610.18178",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
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    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
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  "openalex": "W7221801230",
  "pdf_url": "https://arxiv.org/pdf/2610.18178",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bez96qf1g47c9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:20Z",
      "native_id": "2610.18178",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18178"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Uniqueness of solutions to the 2D compressible Navier-Stokes equations for bounded densities",
  "title_text": "Uniqueness of solutions to the 2D compressible Navier-Stokes equations for bounded densities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:20Z",
  "url": "https://research.draconitic.com/paper/bez96qf1g47c9",
  "venue": "arXiv",
  "versions": []
}