{
  "id": "1104.3255",
  "version": "v6",
  "published": "2011-04-16T18:41:48.000Z",
  "updated": "2015-10-17T18:54:32.000Z",
  "title": "Uniqueness criterion of weak solutions for the 3D Navier-Stokes equations",
  "authors": [
    "Abdelhafid Younsi"
  ],
  "comment": "04 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we establish a new uniqueness criterion for weak solutions to the 3D Navier-Stokes equations. We prove that if $u$ is a weak solution of the three dimensional Navier-Stokes equations and if $u$ belongs to the space $L^{\\frac{5}{2}}(0,T;V)$, then $u$ is unique. This result, improves some known uniqueness results of weak solutions for the 3D Navier-Stokes equations.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-12-27T07:08:35.000Z",
      "title": "On the Uniqueness in the 3d Navier-Stokes Equations",
      "abstract": "In this paper, we give a new regularity criterion on the uniqueness results of weak solutions for the 3D Navier-Stokes equations satisfying the energy inequality. Morevore, we prove that a weak solution of the 3D Navier- Stokes equations is unique in the class of continuous solution.",
      "comment": "05 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v6",
      "updated": "2015-10-17T18:54:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weak solution",
      "regularity criterion",
      "uniqueness results",
      "energy inequality",
      "3d navier-stokes equations satisfying"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.3255Y"
    }
  }
}