{
  "id": "math/0701828",
  "version": "v2",
  "published": "2007-01-29T02:17:27.000Z",
  "updated": "2007-02-13T03:44:27.000Z",
  "title": "Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space",
  "authors": [
    "Hongjie Dong",
    "Dapeng Du"
  ],
  "comment": "9 pages; revised the introduction, added two references and corrected a few misprints",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the critical dissipative quasi-geostrophic equations in $\\bR^2$ with arbitrary $H^1$ initial data. After showing certain decay estimate, a global well-posedness result is proved by adapting the method in [11] with a suitable modification. A decay in time estimate for higher order homogeneous Sobolev norms of solutions is also discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-02-13T03:44:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35"
    ],
    "keywords": [
      "critical dissipative quasi-geostrophic equation",
      "decay estimate",
      "higher order homogeneous sobolev norms",
      "global well-posedness result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1828D"
    }
  }
}