{
  "id": "1505.02293",
  "version": "v1",
  "published": "2015-05-09T17:17:22.000Z",
  "updated": "2015-05-09T17:17:22.000Z",
  "title": "Regularity criterion and energy conservation for the supercritical Quasi-Geostrophic equation",
  "authors": [
    "Mimi Dai"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper studies the regularity and energy conservation problems for the 2D supercritical quasi-geostrophic (SQG) equation. We apply an approach of splitting the dissipation wavenumber to obtain a new regularity condition which is weaker than all the Prodi-Serrin type regularity conditions. Moreover, we prove that any weak solution of the supercritical SQG in $L^2(0,T; B^{1/2}_{2,c(\\mathbb N)})$ conserves energy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-09T17:17:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D03",
      "35Q35"
    ],
    "keywords": [
      "supercritical quasi-geostrophic equation",
      "regularity criterion",
      "prodi-serrin type regularity conditions",
      "energy conservation problems",
      "paper studies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150502293D"
    }
  }
}