{
  "abstract": "In this paper, we rigorously justify the low Mach number limit of the full compressible Navier-Stokes equations in a three-dimensional smooth bounded domain, subject to the no-slip boundary condition for the velocity and well-prepared initial data. In the presence of heat conduction and large temperature variations, we establish the uniform estimates for strong solutions on a time interval independent of the Mach number by constructing an energy functional in a Sobolev framework. The no-slip boundary condition cannot provide the vorticity boundary relation used in the slip-boundary setting. To overcome this difficulty, a divergence-free Stokes lifting of the boundary trace for the time derivative of the modified velocity is employed to define a test function vanishing on the boundary, which enables the transfer of a priori estimates from the velocity to the temperature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06567",
  "author_total": 4,
  "authors": [
    {
      "name": "Xiaoyu Gu"
    },
    {
      "name": "Song Jiang"
    },
    {
      "name": "Qiangchang Ju"
    },
    {
      "name": "Yaobin Ou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/01ynt7r4kn674.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06567",
  "fulltext_url": null,
  "id": "01ynt7r4kn674",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06567",
  "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": "W7220654700",
  "pdf_url": "https://arxiv.org/pdf/2610.06567",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/01ynt7r4kn674.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.06567",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06567"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Low Mach number limit of the full Navier-Stokes equations with no-slip boundary conditions and large temperature variations",
  "title_text": "Low Mach number limit of the full Navier-Stokes equations with no-slip boundary conditions and large temperature variations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/01ynt7r4kn674",
  "venue": "arXiv",
  "versions": []
}