{
  "abstract": "In this paper, we study the inviscid limit for the hyperbolic Keller--Segel equations with logistic sensitivity $1-u$. We establish a common existence time and a priori estimates uniform with respect to the diffusion coefficient in the critical Besov spaces $B_{p,1}^{1+d/p}(R^d)$ with $1\\le p\\le\\infty$. For $1<p<\\infty$, we obtain explicit convergence rates in $B_{p,1}^{0}$, and we also give estimates for the case $p=1$. For initial data in $B_{\\infty,1}^{1}$, we prove convergence at rate $O(\\varepsilon^{1/2})$ in $L^\\infty$, a bound of order $O(\\varepsilon^{1/2}\\log(e/\\varepsilon))$ in $B_{\\infty,1}^{0}$, and strong convergence in $L^\\infty(0,T;B_{\\infty,1}^{1})$. Additional regularity of the initial data yields improved convergence rates. We construct a fixed initial datum showing that the exponent $1/2$ in $L^\\infty$ is optimal.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41670",
  "author_total": 2,
  "authors": [
    {
      "name": "Yang Cen"
    },
    {
      "name": "Zhaoyang Yin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/36a5psqa81c9m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41670",
  "fulltext_url": null,
  "id": "36a5psqa81c9m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41670",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41670",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/36a5psqa81c9m.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41670",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41670"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Inviscid limit for the hyperbolic Keller--Segel equations in $B_{\\infty,1}^{1}$",
  "title_text": "Inviscid limit for the hyperbolic Keller--Segel equations in B_∞,1^1",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:53Z",
  "url": "https://research.draconitic.com/paper/36a5psqa81c9m",
  "venue": "arXiv",
  "versions": []
}