{
  "abstract": "The classical Boltzmann equation, formulated by Boltzmann in 1872, describes the statistical behavior of a dilute gas in a non-equilibrium state. While the global well-posedness of the classical Boltzmann equation has been extensively studied and is relatively well-understood, this model becomes inadequate when the gas is no longer sufficiently dilute. Therefore, it is necessary to investigate higher-order extensions of the Boltzmann equation that account for multi-particle interactions. Recently, Ampatzoglou and Pavlović provided the rigorous derivation of both the ternary [\\textit{Comm. Math. Phys.} \\textbf{387} (2021), no. 2, 793-863.] and the binary-ternary [\\textit{Forum Math. Sigma} \\textbf{13} (2025), Paper No. e52, 95 pp.] Boltzmann equations from a classical particle system, yielding an explicit form of the ternary collision operator. However, the global existence near equilibrium for the binary-ternary Boltzmann equation remains an interesting and fundamental question, a gap that this paper seeks to address as its primary contribution.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.22980",
  "author_total": 3,
  "authors": [
    {
      "name": "Xianshen Hu"
    },
    {
      "name": "Linjie Xiong"
    },
    {
      "name": "Zhihong Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/019p0z8zps3j8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.22980",
  "fulltext_url": null,
  "id": "019p0z8zps3j8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.22980",
  "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": "W7214006655",
  "pdf_url": "https://arxiv.org/pdf/2609.22980",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/019p0z8zps3j8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.22980",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.22980"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The Binary-ternary Boltzmann Equation Near Equilibrium",
  "title_text": "The Binary-ternary Boltzmann Equation Near Equilibrium",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/019p0z8zps3j8",
  "venue": "arXiv",
  "versions": []
}