{
  "id": "1205.1255",
  "version": "v2",
  "published": "2012-05-06T23:52:23.000Z",
  "updated": "2012-07-19T00:44:39.000Z",
  "title": "The regularity criterion for 3D Navier-Stokes Equations",
  "authors": [
    "Daoyuan Fang",
    "Chenyin Qian"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1005.4463 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this article, we establish sufficient conditions for the regularity of solutions of Navier-Stokes equations based on one of the nine entries of the gradient tensor. We improve the recently results of C.S. Cao, E.S. Titi (Arch. Rational Mech.Anal. 202 (2011) 919-932) and Y. Zhou, M. Pokorn$\\acute{y}$ (Nonlinearity 23, 1097-1107 (2010)).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-07-19T00:44:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D05"
    ],
    "keywords": [
      "3d navier-stokes equations",
      "regularity criterion",
      "establish sufficient conditions",
      "gradient tensor",
      "rational mech"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.1255F"
    }
  }
}