{
  "id": "1212.2335",
  "version": "v2",
  "published": "2012-12-11T08:59:47.000Z",
  "updated": "2013-03-12T06:47:33.000Z",
  "title": "Some new regularity criteria for the 3D Navier-Stokes Equations",
  "authors": [
    "Daoyuan Fang",
    "Chenyin Qian"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1210.3857, arXiv:1205.1255; and with arXiv:1005.4463 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "Several types of new regularity criteria for Leray-Hopf weak solutions $u$ to the 3D Navier-Stokes equations are obtained. Some of them are based on the third component $u_3$ of velocity under Prodi-Serrin index condition, another type is in terms of $\\omega_3$ and $\\partial_3u_3$ with Prodi-Serrin index condition. And a very recent work of the authors, based on only one of the nine entries of the gradient tensor, is renovated.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-03-12T06:47:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D05"
    ],
    "keywords": [
      "3d navier-stokes equations",
      "regularity criteria",
      "prodi-serrin index condition",
      "leray-hopf weak solutions",
      "gradient tensor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.2335F"
    }
  }
}