{
  "id": "math-ph/0010031",
  "version": "v2",
  "published": "2000-10-23T08:54:21.000Z",
  "updated": "2002-09-03T13:24:33.000Z",
  "title": "Isotropic steady states in galactic dynamics revised",
  "authors": [
    "Yan Guo",
    "Gerhard Rein"
  ],
  "comment": "31 pages, LaTeX",
  "journal": "Commun. Math. Phys. 219, 607 - 629 (2001)",
  "doi": "10.1007/s002200100434",
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "The present paper completes our earlier results on nonlinear stability of stationary solutions of the Vlasov-Poisson system in the stellar dynamics case. By minimizing the energy under a mass-Casimir constraint we construct a large class of isotropic, spherically symmetric steady states and prove their nonlinear stability against general, i. e., not necessarily symmetric perturbations. The class is optimal in a certain sense, in particular, it includes all polytropes of finite mass with decreasing dependence on the particle energy.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-09-03T13:24:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "85A05",
      "35B35"
    ],
    "keywords": [
      "isotropic steady states",
      "galactic dynamics",
      "nonlinear stability",
      "spherically symmetric steady states",
      "stellar dynamics case"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2001,
      "volume": 219,
      "number": 3,
      "pages": 607
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001CMaPh.219..607G"
    }
  }
}