{
  "id": "0801.2316",
  "version": "v1",
  "published": "2008-01-15T14:53:36.000Z",
  "updated": "2008-01-15T14:53:36.000Z",
  "title": "On the global well-posedness for the axisymmetric Euler equations",
  "authors": [
    "Hammadi Abidi",
    "Taoufik Hmidi",
    "Sahbi Keraani"
  ],
  "comment": "28 pages. This is an updated version of the paper (arXiv:math/0703144). The main result is improved",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper deals with the global well-posedness of the 3D axisymmetric Euler equations for initial data lying in critical Besov spaces $B_{p,1}^{1+3/p}$. In this case the BKM criterion is not known to be valid and to circumvent this difficulty we use a new decomposition of the vorticity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-15T14:53:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D03",
      "35B33",
      "35Q35",
      "76D05"
    ],
    "keywords": [
      "global well-posedness",
      "3d axisymmetric euler equations",
      "critical besov spaces",
      "initial data",
      "bkm criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.2316A"
    }
  }
}