{
  "id": "2409.13619",
  "version": "v1",
  "published": "2024-09-20T16:29:44.000Z",
  "updated": "2024-09-20T16:29:44.000Z",
  "title": "Blow-up of solutions to the Keller-Segel model with tensorial flux in high dimensions",
  "authors": [
    "Valeria Cuentas",
    "Elio Espejo",
    "Takashi Suzuki"
  ],
  "comment": "9 pages",
  "journal": "Applied Mathematics Letters, Volume 154, 2024, 109090, ISSN 0893-9659",
  "categories": [
    "math.AP"
  ],
  "abstract": "Over the course of the last decade, there has been a significant level of interest in the analysis of Keller-Segel models incorporating tensorial flux. Despite this interest, the question of whether finite-time blowup solutions exist remains a topic of ongoing research. Our study provides evidence that solutions of this nature are indeed possible in dimensions $n\\geq3,$ when utilizing a tensorial flux expressed in the form of $A\\nabla v$, where $A$ denotes a matrix with constant components",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-20T16:29:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K15",
      "35K55",
      "35Q60"
    ],
    "keywords": [
      "high dimensions",
      "keller-segel models incorporating tensorial flux",
      "finite-time blowup solutions",
      "significant level",
      "constant components"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}