{
  "id": "1103.3489",
  "version": "v1",
  "published": "2011-03-17T19:32:07.000Z",
  "updated": "2011-03-17T19:32:07.000Z",
  "title": "An integrodifferential equation driven by fractional Brownian motion",
  "authors": [
    "Hakima Bessaih",
    "Chandana Wijeratne"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "This paper deals with the well posedness of an integrodifferential equation that describes a vortex filament associated to a 3D turbulent fluid flow. This equation is driven by a fractional Brownian motion of Hurst parameter H>1/2. We prove global existence and uniqueness of solutions in a functional space of Sobolev type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-17T19:32:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G22",
      "35R09"
    ],
    "keywords": [
      "fractional brownian motion",
      "integrodifferential equation driven",
      "3d turbulent fluid flow",
      "vortex filament",
      "paper deals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.3489B"
    }
  }
}