{
  "id": "0902.1582",
  "version": "v2",
  "published": "2009-02-10T05:33:04.000Z",
  "updated": "2009-02-14T05:08:19.000Z",
  "title": "A sharp local blow-up condition for Euler-Poisson equations with attractive forcing",
  "authors": [
    "Bin Cheng",
    "Eitan Tadmor"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We improve the recent result of Chae & Tadmor in [Comm. Math. Sci. 6(3) (2008) 785-789], proving a one-sided threshold condition which leads to finite-time breakdown of the Euler-Poisson equations in arbitrary dimension n.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-02-14T05:08:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35B30"
    ],
    "keywords": [
      "sharp local blow-up condition",
      "euler-poisson equations",
      "attractive forcing",
      "one-sided threshold condition",
      "finite-time breakdown"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.physd.2009.08.008",
      "journal": "Physica D Nonlinear Phenomena",
      "year": 2009,
      "month": "Oct",
      "volume": 238,
      "number": 20,
      "pages": 2062
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhyD..238.2062C"
    }
  }
}