{
  "id": "1207.3692",
  "version": "v1",
  "published": "2012-07-16T14:43:38.000Z",
  "updated": "2012-07-16T14:43:38.000Z",
  "title": "Regularity of a Weak Solution to the Navier-Stokes Equations via One Component of a Spectral Projection of Vorticity",
  "authors": [
    "Jiri Neustupa",
    "Patrick Penel"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We deal with a weak solution v to the Navier-Stokes initial value problem in R^3 x(0,T). We denote by \\omega^+ a spectral projection of \\omega=\\curl\\, v, defined by means of the spectral resolution of identity associated with the self-adjoint operator \\curl. We show that certain conditions imposed on \\omega^+ or, alternatively, only on \\omega^+_3 (the third component of \\omega^+) imply regularity of solution v.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-16T14:43:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D03",
      "76D05"
    ],
    "keywords": [
      "weak solution",
      "spectral projection",
      "navier-stokes equations",
      "regularity",
      "navier-stokes initial value problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.3692N"
    }
  }
}