{
  "id": "math/0607050",
  "version": "v2",
  "published": "2006-07-03T14:15:39.000Z",
  "updated": "2007-10-07T03:18:53.000Z",
  "title": "A dynamical approximation for stochastic partial differential equations",
  "authors": [
    "Wei Wang",
    "Jinqiao Duan"
  ],
  "comment": "28 pages, no figures",
  "journal": "J. Math. Phys., 2007",
  "categories": [
    "math.DS",
    "math.AP"
  ],
  "abstract": "Random invariant manifolds often provide geometric structures for understanding stochastic dynamics. In this paper, a dynamical approximation estimate is derived for a class of stochastic partial differential equations, by showing that the random invariant manifold is almost surely asymptotically complete. The asymptotic dynamical behavior is thus described by a stochastic ordinary differential system on the random invariant manifold, under suitable conditions. As an application, stationary states (invariant measures) is considered for one example of stochastic partial differential equations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-07T03:18:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37L55",
      "35R60",
      "60H15",
      "37H20"
    ],
    "keywords": [
      "stochastic partial differential equations",
      "random invariant manifold",
      "stochastic ordinary differential system",
      "stochastic dynamics",
      "dynamical approximation estimate"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7050W"
    }
  }
}