{
  "id": "1004.4021",
  "version": "v1",
  "published": "2010-04-22T22:19:10.000Z",
  "updated": "2010-04-22T22:19:10.000Z",
  "title": "Blow-up versus global existence of solutions to aggregation equations",
  "authors": [
    "Grzegorz Karch",
    "Kanako Suzuki"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "A class of nonlinear viscous transport equations describing aggregation phenomena in biology is considered. Optimal conditions on an interaction potential are obtained which lead either to the existence or to the nonexistence of global-in-time solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-22T22:19:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35B40"
    ],
    "keywords": [
      "aggregation equations",
      "global existence",
      "transport equations describing aggregation phenomena",
      "viscous transport equations describing aggregation",
      "nonlinear viscous transport equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.4021K"
    }
  }
}