{
  "id": "math/0701826",
  "version": "v2",
  "published": "2007-01-29T02:13:14.000Z",
  "updated": "2009-12-09T17:16:25.000Z",
  "title": "Dissipative quasi-geostrophic equations in critical Sobolev spaces: smoothing effect and global well-posedness",
  "authors": [
    "Hongjie Dong"
  ],
  "comment": "Title changed (the original title is: Higher regularity for the critical and super-critical dissipative quasi-geostrophic equations); to appear in DCDS-A, 19 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the critical and super-critical dissipative quasi-geostrophic equations in $\\bR^2$ or $\\bT^2$. Higher regularity of mild solutions with arbitrary initial data in $H^{2-\\gamma}$ is proved. As a corollary, we obtain a global existence result for the critical 2D quasi-geostrophic equations with periodic $\\dot H^1$ data. Some decay in time estimates are also provided.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-09T17:16:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dissipative quasi-geostrophic equations",
      "critical sobolev spaces",
      "global well-posedness",
      "smoothing effect",
      "critical 2d quasi-geostrophic equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1826D"
    }
  }
}