{
  "id": "2108.07796",
  "version": "v1",
  "published": "2021-08-15T23:56:12.000Z",
  "updated": "2021-08-15T23:56:12.000Z",
  "title": "A remark on ill-posedness",
  "authors": [
    "Haibo Yang",
    "Qixiang Yang",
    "Huoxiong Wu"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "Norm inflation implies certain discontinuous dependence of the solution on the initial value. The well-posedness of the mild solution means the existence and uniqueness of the fixed points of the corresponding integral equation. In this paper, we construct a non-Gauss flow function to show that, for classic Navier-Stokes equations, wellposedness and norm inflation have no conflict.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-15T23:56:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D03",
      "42B35",
      "46E30"
    ],
    "keywords": [
      "ill-posedness",
      "norm inflation implies",
      "mild solution means",
      "non-gauss flow function",
      "classic navier-stokes equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}