{
  "id": "0906.4281",
  "version": "v2",
  "published": "2009-06-23T15:00:42.000Z",
  "updated": "2009-12-10T14:04:51.000Z",
  "title": "Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise",
  "authors": [
    "Lihu Xu",
    "Marco Romito"
  ],
  "comment": "29 pages",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We prove that the any Markov solution to the 3D stochastic Navier-Stokes equations driven by a mildly degenerate noise (i.e.all but finitely many Fourier modes are forced) is uniquely ergodic. This follows by proving strong Feller regularity and irreducibility.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-10T14:04:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D05",
      "60H15",
      "35Q30",
      "60H30",
      "76M35"
    ],
    "keywords": [
      "3d stochastic navier-stokes equations driven",
      "mildly degenerate noise",
      "ergodicity",
      "proving strong feller regularity",
      "markov solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4281X"
    }
  }
}