{
  "id": "0704.2089",
  "version": "v1",
  "published": "2007-04-17T02:20:50.000Z",
  "updated": "2007-04-17T02:20:50.000Z",
  "title": "On the energy equality for weak solutions of the 3D Navier-Stokes equations",
  "authors": [
    "A. Cheskidov",
    "S. Friedlander",
    "R. Shvydkoy"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove that the energy equality holds for weak solutions of the 3D Navier-Stokes equations in the functional class $L^3([0,T);V^{5/6})$, where $V^{5/6}$ is the domain of the fractional power of the Stokes operator $A^{5/12}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-17T02:20:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76B03",
      "76F02"
    ],
    "keywords": [
      "3d navier-stokes equations",
      "weak solutions",
      "energy equality holds",
      "functional class",
      "fractional power"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.2089C"
    }
  }
}