{
  "id": "2009.13005",
  "version": "v1",
  "published": "2020-09-28T01:26:00.000Z",
  "updated": "2020-09-28T01:26:00.000Z",
  "title": "Delayed blow-up by transport noise",
  "authors": [
    "Franco Flandoli",
    "Lucio Galeati",
    "Dejun Luo"
  ],
  "comment": "28 pages",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "For some deterministic nonlinear PDEs on the torus whose solutions may blow up in finite time, we show that, under suitable conditions on the nonlinear term, the blow-up is delayed by multiplicative noise of transport type in a certain scaling limit. The main result is applied to the 3D Keller-Segel, 3D Fisher-KPP and 2D Kuramoto-Sivashinsky equations, yielding long-time existence for large initial data with high probability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-28T01:26:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transport noise",
      "delayed blow-up",
      "deterministic nonlinear pdes",
      "large initial data",
      "2d kuramoto-sivashinsky equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}