{
  "id": "1307.1012",
  "version": "v2",
  "published": "2013-07-03T13:44:34.000Z",
  "updated": "2013-07-31T08:03:44.000Z",
  "title": "Existence and Uniqueness of Global Smooth Solution of Incompressible Navier-Stokes Equation",
  "authors": [
    "Yongqian Han"
  ],
  "comment": "14 pages withdraw arXiv article 1307.1012. This paper has been withdrawn by the author due to a crucial error in Section 2",
  "categories": [
    "math.AP"
  ],
  "abstract": "The Cauchy problem and spatially periodic problem of incompressible Navier-Stokes equation are considered. The existence and uniqueness of global solution for these two problem with infinite smooth initial data $u_0$, i.e. $u_0,\\;(u_0\\cdot\\nab)u_0\\in H^{\\infty}$, are established. Moreover these two problem with initial data $u_0\\in H^m$ ($m\\ge1$) are globally well-posed provided the Fourier frequency of $u_0$ is contained in a bounded compact set.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-31T08:03:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D03",
      "76D05"
    ],
    "keywords": [
      "incompressible navier-stokes equation",
      "global smooth solution",
      "uniqueness",
      "infinite smooth initial data",
      "cauchy problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1012H"
    }
  }
}