{
  "id": "2203.15622",
  "version": "v1",
  "published": "2022-03-29T14:43:33.000Z",
  "updated": "2022-03-29T14:43:33.000Z",
  "title": "On averaging and mixing for stochastic PDEs",
  "authors": [
    "Guan Huang",
    "Sergei Kuksin"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We examine the convergence in the Krylov--Bogolyubov averaging for nonlinear stochastic perturbations of linear PDEs with pure imaginary spectrum and show that if the involved effective equation is mixing, then the convergence is uniform in time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-29T14:43:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R60",
      "35Q56"
    ],
    "keywords": [
      "stochastic pdes",
      "nonlinear stochastic perturbations",
      "pure imaginary spectrum",
      "linear pdes",
      "convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}