{
  "id": "math/0701592",
  "version": "v1",
  "published": "2007-01-21T20:38:18.000Z",
  "updated": "2007-01-21T20:38:18.000Z",
  "title": "Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation",
  "authors": [
    "Peter Constantin",
    "Jiahong Wu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ($\\alpha< 1/2$) dissipation $(-\\Delta)^\\alpha$ : If a Leray-Hopf weak solution is H\\\"{o}lder continuous $\\theta\\in C^\\delta({\\mathbb R}^2)$ with $\\delta>1-2\\alpha$ on the time interval $[t_0, t]$, then it is actually a classical solution on $(t_0,t]$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-21T20:38:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D03",
      "35Q35"
    ],
    "keywords": [
      "hölder continuous solutions",
      "supercritical quasi-geostrophic equation",
      "2d quasi-geostrophic equation",
      "leray-hopf weak solution",
      "time interval"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008AnIHP..25.1103C"
    }
  }
}