{
  "id": "1206.6919",
  "version": "v4",
  "published": "2012-06-29T00:14:17.000Z",
  "updated": "2015-03-23T20:44:49.000Z",
  "title": "Complete point symmetry group of the barotropic vorticity equation on a rotating sphere",
  "authors": [
    "Elsa Dos Santos Cardoso-Bihlo",
    "Roman O. Popovych"
  ],
  "comment": "8 pages, minor corrections of English",
  "journal": "J. Engrg. Math. 82 (2013), 31-38",
  "doi": "10.1007/s10665-012-9589-2",
  "categories": [
    "math-ph",
    "math.MP",
    "physics.ao-ph",
    "physics.flu-dyn"
  ],
  "abstract": "The complete point symmetry group of the barotropic vorticity equation on the sphere is determined. The method we use relies on the invariance of megaideals of the maximal Lie invariance algebra of a system of differential equations under automorphisms generated by the associated group. A convenient set of megaideals is found for the maximal Lie invariance algebra of the spherical vorticity equation. We prove that there are only two independent (up to composition with continuous point symmetry transformations) discrete symmetries for this equation.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-09-29T01:53:53.000Z",
      "title": "Complete point symmetry group of vorticity equation on rotating sphere",
      "comment": "8 pages, minor corrections",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2015-03-23T20:44:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76M60",
      "35A30",
      "86A10"
    ],
    "keywords": [
      "complete point symmetry group",
      "maximal lie invariance algebra",
      "rotating sphere",
      "barotropic vorticity equation",
      "continuous point symmetry transformations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Journal of Engineering Mathematics",
      "year": 2013,
      "month": "Oct",
      "volume": 82,
      "number": 1,
      "pages": 31
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013JEnMa..82...31C"
    }
  }
}