{
  "id": "0802.2673",
  "version": "v3",
  "published": "2008-02-19T15:44:15.000Z",
  "updated": "2009-03-12T17:17:14.000Z",
  "title": "Existence of travelling-wave solutions and local well-posedness of the Fowler equation",
  "authors": [
    "Borys Alvarez-Samaniego",
    "Pascal Azerad"
  ],
  "comment": "21 pages",
  "journal": "Discrete and Continuous Dynamical Systems: Series B 12, 04 (2009) 671 - 692",
  "doi": "10.3934/dcdsb.2009.12.671",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the existence of travelling-waves and local well-posedness in a subspace of $C_b^1(\\mathbb{R})$ for a nonlinear evolution equation recently proposed by Andrew C. Fowler to study the dynamics of dunes.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-03-12T17:17:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local well-posedness",
      "travelling-wave solutions",
      "fowler equation",
      "nonlinear evolution equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.2673A"
    }
  }
}