{
  "id": "2102.11256",
  "version": "v1",
  "published": "2021-02-22T18:37:44.000Z",
  "updated": "2021-02-22T18:37:44.000Z",
  "title": "Asymptotic study of supercritical surface Quasi-Geostrophic equation in critical space",
  "authors": [
    "Jamel Benameur",
    "Chaala Katar"
  ],
  "comment": "global solution, supercritical surface Quasi-Geostrophic equation, Asymptotic study",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove, if $\\theta\\in C([0,\\infty),H^{2-2\\alpha}(\\mathbb R^2))$ is a global solution of supercritical surface Quasi-Geostrophic equation with small initial data, then $\\|\\theta(t)\\|_{H^{2-2\\alpha}}$ decays to zero as time goes to infinity. Fourier analysis and standard techniques are used.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-22T18:37:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "supercritical surface quasi-geostrophic equation",
      "asymptotic study",
      "critical space",
      "small initial data",
      "standard techniques"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}