{
  "abstract": "We investigate the three-dimensional barotropic compressible Navier--Stokes equations involving vacuum in a bounded domain with Navier-slip boundary conditions. It is shown that such a model admits a unique global strong solution provided the gradient of the initial velocity and the initial pressure deviation are suitably small in $L^2$. In particular, \\textit{the smallness threshold depends only on the known parameters and the prescribed density bounds.} Our result provides a new analytical framework for the global well-posedness theory of the compressible Navier--Stokes equations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23091",
  "author_total": 2,
  "authors": [
    {
      "name": "Lin Xu"
    },
    {
      "name": "Xin Zhong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6cw7pnr56zwa6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23091",
  "fulltext_url": null,
  "id": "6cw7pnr56zwa6",
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  "landing_url": "https://arxiv.org/abs/2610.23091",
  "language": null,
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  "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.AP"
    ],
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7222986328",
  "pdf_url": "https://arxiv.org/pdf/2610.23091",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6cw7pnr56zwa6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.23091",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23091"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global well-posedness for the compressible Navier--Stokes equations in 3D bounded domains under a new smallness condition",
  "title_text": "Global well-posedness for the compressible Navier--Stokes equations in 3D bounded domains under a new smallness condition",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/6cw7pnr56zwa6",
  "venue": "arXiv",
  "versions": []
}