{
  "id": "0801.0496",
  "version": "v1",
  "published": "2008-01-03T10:01:11.000Z",
  "updated": "2008-01-03T10:01:11.000Z",
  "title": "Some examples of absolute continuity of measures in stochastic fluid dynamics",
  "authors": [
    "B. Ferrario"
  ],
  "comment": "16 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "A non linear Ito equation in a Hilbert space is studied by means of Girsanov theorem. We consider a non linearity of polynomial growth in suitable norms, including that of quadratic type which appears in the Kuramoto-Sivashinsky equation and in the Navier-Stokes equation. We prove that Girsanov theorem holds for the 1-dimensional stochastic Kuramoto-Sivashinsky equation and for a modification of the 2- and 3-dimensional stochastic Navier-Stokes equation. In this way, we prove existence and uniqueness of solutions for these stochastic equations. Moreover, the asymptotic behaviour for large time is characterized.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-03T10:01:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "35Q35",
      "76M35"
    ],
    "keywords": [
      "stochastic fluid dynamics",
      "absolute continuity",
      "non linear ito equation",
      "stochastic kuramoto-sivashinsky equation",
      "stochastic navier-stokes equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}