{
  "abstract": "We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension $d \\geq 3$. Under the hypothesis of integrable initial data with finite second moment and energy, we show local-in-time existence for any mass of free-energy solutions, namely weak solutions with some free energy estimates. We exhibit that the qualitative behavior of solutions is decided by a set of critical values: there is a critical value of a parameter pair in the system of equations for which there is a global-in-time energy solution and there exist blowing-up free-energy solutions under a criticality condition is violated for the parameter pair.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09078",
  "author_total": 1,
  "authors": [
    {
      "name": "Suleyman Ulusoy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/33qxgnp40d7dd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09078",
  "fulltext_url": null,
  "id": "33qxgnp40d7dd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09078",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2611|Mathematical Biology Tumor Growth"
    ]
  ],
  "openalex": "W7221050695",
  "pdf_url": "https://arxiv.org/pdf/2610.09078",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/33qxgnp40d7dd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2610.09078",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09078"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp blow-up condition for a two-species cross attraction system in 3 or more dimensions",
  "title_text": "Sharp blow-up condition for a two-species cross attraction system in 3 or more dimensions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/33qxgnp40d7dd",
  "venue": "arXiv",
  "versions": []
}