{
  "id": "1107.3403",
  "version": "v3",
  "published": "2011-07-18T11:27:26.000Z",
  "updated": "2011-09-01T08:40:09.000Z",
  "title": "Global in time solution to the incompressible Navier-Stokes equations on $\\Real^n$. An Elementary Approach",
  "authors": [
    "Ulisse Iotti"
  ],
  "comment": "They are possible other cases at first done not contemplate. This paper has been withdrawn by the author due to a crucial sign error in equation 1 page 4",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we prove a theorem of global time-extension for the local classical solution of Navier-Stokes's evolution problem in $\\Real^n$ with $n\\geqslant2$ for incompressible fluids subjected to external forces and regular initial conditions. This will be achieved by expressing the boundedness of the time derivative of the $L^\\infty$ solution norm.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-09-01T08:40:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "incompressible navier-stokes equations",
      "time solution",
      "elementary approach",
      "regular initial conditions",
      "navier-stokess evolution problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 1,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.3403I"
    }
  }
}