{
  "abstract": "This paper focuses on the free boundary problem of the three-dimensional compressible Navier-Stokes-Poisson equations with degenerate viscosities for self-gravitating viscous gaseous stars. For spherically symmetric barotropic motion, we establish the local well-posedness of classical solutions. The solutions obtained here are smooth all the way up to the moving boundary and capture the physical vacuum boundary behavior of the Lane-Emden star configuration for all adiabatic exponents $γ>\\frac{4}{3}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.22822",
  "author_total": 3,
  "authors": [
    {
      "name": "Demin Wang"
    },
    {
      "name": "Jiawen Zhang"
    },
    {
      "name": "Shengguo Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/abbtdvta9ycn2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.22822",
  "fulltext_url": null,
  "id": "abbtdvta9ycn2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.22822",
  "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",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7165656081",
  "pdf_url": "https://arxiv.org/pdf/2606.22822",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/abbtdvta9ycn2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2606.22822",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.22822"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "On a Local Existence Theorem for the Evolution Equation of Viscous Gaseous Stars in a Physical Vacuum",
  "title_text": "On a Local Existence Theorem for the Evolution Equation of Viscous Gaseous Stars in a Physical Vacuum",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/abbtdvta9ycn2",
  "venue": "arXiv",
  "versions": []
}