{
  "abstract": "The present work extends a fixed-point framework previously developed for the standard planar four-velocity Broadwell model to the general four-velocity configuration with an arbitrary orientation of the discrete velocities. This provides a non-axis-aligned test of the framework and leads to a global-in-time existence and uniqueness result for classical solutions of the associated initial-boundary value problem in a rectangular domain. Under suitable assumptions on the initial and boundary data, we establish the existence and uniqueness of a global-in-time classical solution. The analysis identifies the geometric and analytic properties of the fixed-point approach that remain valid independently of the orientation of the discrete velocities. The results demonstrate the applicability of the framework to the general planar four-velocity Broadwell model beyond the standard axis-aligned configuration.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.08434",
  "author_total": 2,
  "authors": [
    {
      "name": "Koudzo Togbévi Selom Sobah"
    },
    {
      "name": "Amah Séna d'Almeida"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/38hseqa696ep2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.08434",
  "fulltext_url": null,
  "id": "38hseqa696ep2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.08434",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2604|Gas Dynamics and Kinetic Theory"
    ]
  ],
  "openalex": "W7202174929",
  "pdf_url": "https://arxiv.org/pdf/2608.08434",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/38hseqa696ep2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:57Z",
      "native_id": "2608.08434",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.08434"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global classical solutions for the general planar Broadwell model with arbitrary velocity orientation: a fixed-point framework",
  "title_text": "Global classical solutions for the general planar Broadwell model with arbitrary velocity orientation: a fixed-point framework",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:57Z",
  "url": "https://research.draconitic.com/paper/38hseqa696ep2",
  "venue": "arXiv",
  "versions": []
}