{
  "id": "1209.4809",
  "version": "v1",
  "published": "2012-09-21T13:03:50.000Z",
  "updated": "2012-09-21T13:03:50.000Z",
  "title": "Propagation in Fisher-KPP type equations with fractional diffusion in periodic media",
  "authors": [
    "Xavier Cabre",
    "Anne-Charline Coulon",
    "Jean-Michel Roquejoffre"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We are interested in the time asymptotic location of the level sets of solutions to Fisher-KPP reaction-diffusion equations with fractional diffusion in periodic media. We show that the speed of propagation is exponential in time, with a precise exponent depending on a periodic principal eigenvalue, and that it does not depend on the space direction. This is in contrast with the Freidlin-G\\\"artner formula for the standard Laplacian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-21T13:03:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K57"
    ],
    "keywords": [
      "fisher-kpp type equations",
      "fractional diffusion",
      "periodic media",
      "propagation",
      "time asymptotic location"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.4809C"
    }
  }
}