{
  "id": "1107.0152",
  "version": "v1",
  "published": "2011-07-01T08:57:32.000Z",
  "updated": "2011-07-01T08:57:32.000Z",
  "title": "Global-in-time existence of perturbations around travelling-waves",
  "authors": [
    "Afaf Bouharguane"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove the global-in-time well-posedness in the neighbourhood of travelling-waves solutions of the Fowler equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-01T08:57:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global-in-time existence",
      "perturbations",
      "fractional diffusion/anti-diffusion equation",
      "fowler equation",
      "global-in-time well-posedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.0152B"
    }
  }
}