{
  "id": "math/0410158",
  "version": "v1",
  "published": "2004-10-06T12:42:44.000Z",
  "updated": "2004-10-06T12:42:44.000Z",
  "title": "Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy",
  "authors": [
    "S. Albeverio",
    "B. Ferrario"
  ],
  "comment": "Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imstat.org/aop/) at http://dx.doi.org/10.1214/009117904000000379",
  "journal": "Annals of Probability 2004, Vol. 32, No. 2, 1632-1649",
  "doi": "10.1214/009117904000000379",
  "categories": [
    "math.PR"
  ],
  "abstract": "A stochastic Navier-Stokes equation with space-time Gaussian white noise is considered, having as infinitesimal invariant measure a Gaussian measure \\mu_{\\nu} whose covariance is given in terms of the enstrophy. Pathwise uniqueness for \\mu_{\\nu}-a.e. initial velocity is proven for solutions having \\mu_{\\nu} as invariant measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-06T12:42:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D05",
      "76M35",
      "74H25",
      "60G17",
      "60H15"
    ],
    "keywords": [
      "stochastic navier-stokes equation",
      "uniqueness",
      "space-time gaussian white noise",
      "infinitesimal invariant measure",
      "gaussian measure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10158A"
    }
  }
}