{
  "abstract": "We study the zero-viscosity limit of radially symmetric stationary solutions for the inflow and outflow problems for a viscous and heat-conductive polytropic ideal gas in the exterior of a ball in $\\mathbb{R}^n$ ($n \\geq 3$), under prescribed boundary and far-field conditions. The far-field velocity is assumed to be zero, and the solutions are considered in a sufficiently small neighborhood of the far-field state. In the zero-viscosity limit, the viscous terms disappear from the momentum equation, while the heat-conduction term remains in the energy equation. For the outflow problem, we prove that the viscous stationary solution converges uniformly to the corresponding stationary solution of the heat-conductive inviscid system, with convergence rate $O(μ)$. For the inflow problem, a boundary layer appears near the inner boundary. We show that the viscous stationary solution is uniformly approximated by the superposition of the limiting stationary solution and a boundary-layer profile. Here, the boundary layer appears only for the density and velocity, whereas no boundary-layer appears for the temperature. Moreover, for any $α\\in (0,1)$, the approximation error is of order $O(μ^α)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29074",
  "author_total": 1,
  "authors": [
    {
      "name": "Itsuko Hashimoto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/egwyyvsprvjb4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29074",
  "fulltext_url": null,
  "id": "egwyyvsprvjb4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29074",
  "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.AP"
    ],
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7223216131",
  "pdf_url": "https://arxiv.org/pdf/2610.29074",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/egwyyvsprvjb4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.29074",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29074"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Inviscid Limit Problem for Radially Symmetric Stationary States of Viscous and Heat-Conductive Ideal Gas",
  "title_text": "Inviscid Limit Problem for Radially Symmetric Stationary States of Viscous and Heat-Conductive Ideal Gas",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/egwyyvsprvjb4",
  "venue": "arXiv",
  "versions": []
}