{
  "abstract": "The rigorous justification of the Vlasov-Navier-Stokes system remains an outstanding open problem, both as a mean-field limit of an $N$-particle fluid-interacting system and as a hydrodynamic limit derived from multiphase Boltzmann equations. Inspired by the work of Bernard, Desvillettes, Golse, and Ricci [{\\it Commun. Math. Sci.}, {\\bf 15}(6), 1703-1741, 2017], we present a rigorous derivation of the incompressible Vlasov-Navier-Stokes system from the two-component Boltzmann system for elastic hard-sphere collisions. To this end, we establish the well-posedness of the rescaled multicomponent Boltzmann system for small initial data. Specifically, we obtain estimates for the solution that hold uniformly with respect to both the thermal speed ratio $\\varepsilon$ and the mass ratio $η$. Furthermore, under the Vlasov-Navier-Stokes scaling assumption $O(1)\\varepsilon^3 \\leqslant η\\leqslant o(1)\\varepsilon^2$ as $\\varepsilon \\rightarrow 0$, we establish the weak convergence of the solution to the fluid-kinetic coupled limit system.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27864",
  "author_total": 2,
  "authors": [
    {
      "name": "Shuping Li"
    },
    {
      "name": "Linjie Xiong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4q4f1ttgqs7e8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27864",
  "fulltext_url": null,
  "id": "4q4f1ttgqs7e8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27864",
  "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|Gas Dynamics and Kinetic Theory"
    ]
  ],
  "openalex": "W7204777406",
  "pdf_url": "https://arxiv.org/pdf/2608.27864",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4q4f1ttgqs7e8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:28Z",
      "native_id": "2608.27864",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27864"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "A Rigorous Derivation of the Vlasov-Navier-Stokes Model from Multicomponent Boltzmann Equations",
  "title_text": "A Rigorous Derivation of the Vlasov-Navier-Stokes Model from Multicomponent Boltzmann Equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:28Z",
  "url": "https://research.draconitic.com/paper/4q4f1ttgqs7e8",
  "venue": "arXiv",
  "versions": []
}