{
  "id": "math-ph/9806006",
  "version": "v1",
  "published": "1998-06-10T20:24:40.000Z",
  "updated": "1998-06-10T20:24:40.000Z",
  "title": "Stable steady states in stellar dynamics",
  "authors": [
    "Yan Guo",
    "Gerhard Rein"
  ],
  "comment": "22 pages, Latex",
  "journal": "Arch. Rational Mech. Anal. 147, 225-243 (1999)",
  "doi": "10.1007/s002050050150",
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We prove the existence and nonlinear stability of steady states of the Vlasov-Poisson system in the stellar dynamics case. The steady states are obtained as minimizers of an energy-Casimir functional from which fact their dynamical stability is deduced. The analysis applies to some of the well-known polytropic steady states, but it also considerably extends the class of known steady states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-06-10T20:24:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q99",
      "35B35",
      "85A05",
      "85A15"
    ],
    "keywords": [
      "stable steady states",
      "well-known polytropic steady states",
      "stellar dynamics case",
      "energy-casimir functional",
      "analysis applies"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Archive for Rational Mechanics and Analysis",
      "year": 1999,
      "volume": 147,
      "number": 3,
      "pages": 225
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999ArRMA.147..225G"
    }
  }
}