{
  "abstract": "In this article, we study the long-time behavior of a finite-volume discretization for a nonlinear kinetic reaction model involving two interacting species. Building upon the seminal work of Favre, Pirner, Schmeiser [ Arch. Ration. Mech. Anal. 247 (2023), no. 4] , we extend the discrete exponential convergence to equilibrium result established in Bessemoulin-Chatard, Laidin, Rey [ IMA J. Numer. Anal. 45 (2025), no. 4] , which was obtained in a perturbative framework using weighted L 2 estimates. The analysis applies to a broader class of exponentially decaying initial data, without requiring proximity to equilibrium, by exploiting the properties of the Boltzmann entropy. The proof relies on the propagation of the initial L ∞ bounds, derived from monotonicity properties of the scheme, allowing controlled linearizations within the nonlinear entropy estimates. Moreover, we show that the time-discrete dissipation inherent to the numerical scheme plays a crucial stabilizing role, providing control over the nonlinear terms.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "Marianne Bessemoulin-Chatard"
    },
    {
      "name": "Tino Laidin"
    },
    {
      "name": "Thomas Rey"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8hm28famk04rw.bib",
  "cited_by": 0,
  "doi": "10.5802/crmath.855",
  "fulltext_url": null,
  "id": "8hm28famk04rw",
  "issns": [
    "1631-073X",
    "1778-3569"
  ],
  "landing_url": "https://hal.science/hal-05848336v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "openalex",
      "2604|Gas Dynamics and Kinetic Theory"
    ]
  ],
  "openalex": "W7220868350",
  "pdf_url": "https://hal.science/hal-05848336/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": "Académie des sciences (Paris)",
  "ris": "https://research.draconitic.com/paper/8hm28famk04rw.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:17Z",
      "native_id": "hal-05848336",
      "source": "hal",
      "url": "https://hal.science/hal-05848336v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Discrete H -theorem for finite volume discretization of a nonlinear kinetic system: application to hypocoercivity",
  "title_text": "Discrete H -theorem for finite volume discretization of a nonlinear kinetic system: application to hypocoercivity",
  "type": "peer-reviewed",
  "updated_at": "2026-11-04T12:20:48Z",
  "url": "https://research.draconitic.com/paper/8hm28famk04rw",
  "venue": "Comptes Rendus. Mathématique",
  "versions": []
}