{
  "abstract": "We investigate the simultaneous low Mach number and vanishing viscosity limit for a three-dimensional compressible viscous fluid interacting with a freely moving rigid body. The fluid satisfies the compressible Navier-Stokes equations and the no-slip condition on the body surface, while the body evolves according to Newton's laws driven by the fluid stresses. We establish convergence of finite-energy weak solutions to a strong solution of the corresponding incompressible Euler-rigid body system on its interval of existence. Assuming that the initial relative energy tends to zero, convergence holds under a Kato-type condition in a boundary layer whose thickness is proportional to the viscosity. This condition combines vanishing viscous dissipation with a weighted estimate on the fluid momentum relative to the rigid body motion. The proof uses the relative entropy method and a boundary layer corrector adapted to the fluid-rigid body coupling, providing a sufficient condition for convergence in relative energy as the Mach number and viscosity tend to zero simultaneously.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35441",
  "author_total": 3,
  "authors": [
    {
      "name": "Kuntal Bhandari"
    },
    {
      "name": "Šárka Nečasová"
    },
    {
      "name": "Arnab Roy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ensyy7f7qc17h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35441",
  "fulltext_url": null,
  "id": "ensyy7f7qc17h",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35441",
  "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": "W7223826366",
  "pdf_url": "https://arxiv.org/pdf/2610.35441",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ensyy7f7qc17h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.35441",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35441"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Boundary Layer Criterion for the Low Mach Number and Inviscid Limits in Compressible Fluid-Rigid Body Interaction",
  "title_text": "Boundary Layer Criterion for the Low Mach Number and Inviscid Limits in Compressible Fluid-Rigid Body Interaction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/ensyy7f7qc17h",
  "venue": "arXiv",
  "versions": []
}