{
  "id": "1002.1431",
  "version": "v3",
  "published": "2010-02-07T06:11:01.000Z",
  "updated": "2012-01-04T07:28:07.000Z",
  "title": "Stochastic power law fluids: Existence and uniqueness of weak solutions",
  "authors": [
    "Yutaka Terasawa",
    "Nobuo Yoshida"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/10-AAP741 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Applied Probability 2011, Vol. 21, No. 5, 1827-1859",
  "doi": "10.1214/10-AAP741",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a stochastic partial differential equation (SPDE) which describes the velocity field of a viscous, incompressible non-Newtonian fluid subject to a random force. Here the extra stress tensor of the fluid is given by a polynomial of degree $p-1$ of the rate of strain tensor, while the colored noise is considered as a random force. We investigate the existence and the uniqueness of weak solutions to this SPDE.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-01-04T07:28:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic power law fluids",
      "weak solutions",
      "uniqueness",
      "stochastic partial differential equation",
      "random force"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.1431T"
    }
  }
}