{
  "id": "1111.4368",
  "version": "v2",
  "published": "2011-11-18T14:06:40.000Z",
  "updated": "2012-02-07T22:55:41.000Z",
  "title": "Multivalued Attractors and their Approximation: Applications to the Navier-Stokes equations",
  "authors": [
    "Michele Coti Zelati",
    "Florentina Tone"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "This article is devoted to the study of multivalued semigroups and their asymptotic behavior, with particular attention to iterations of set-valued mappings. After developing a general abstract framework, we present an application to a time discretization of the two-dimensional Navier-Stokes equations. More precisely, we prove that the fully implicit Euler scheme generates a family of discrete multivalued dynamical systems, whose global attractors converge to the global attractor of the continuous system as the time-step parameter approaches zero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-07T22:55:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multivalued attractors",
      "application",
      "fully implicit euler scheme generates",
      "time-step parameter approaches zero",
      "approximation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.4368C"
    }
  }
}