{
  "id": "1204.6417",
  "version": "v3",
  "published": "2012-04-28T16:36:37.000Z",
  "updated": "2013-03-24T09:08:20.000Z",
  "title": "Large deviation principles for the stochastic quasi-geostrophic equation",
  "authors": [
    "Wei Liu",
    "Michael Röckner",
    "Xiangchan Zhu"
  ],
  "comment": "29 pages; correct some misprints and small gaps",
  "journal": "Stoch. Proc. Appl. 123 (2013), 3299--3327",
  "doi": "10.1016/j.spa.2013.03.020",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "In this paper we establish the large deviation principle for the stochastic quasi-geostrophic equation in the subcritical case with small multiplicative noise. The proof is mainly based on the stochastic control and weak convergence approach. Some analogous results are also obtained for the small time asymptotics of the stochastic quasi-geostrophic equation.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-03-24T09:08:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "60F10",
      "35K55",
      "35Q86"
    ],
    "keywords": [
      "stochastic quasi-geostrophic equation",
      "large deviation principle",
      "weak convergence approach",
      "small time asymptotics",
      "small multiplicative noise"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.6417L"
    }
  }
}