{
  "id": "1304.0123",
  "version": "v2",
  "published": "2013-03-30T17:07:04.000Z",
  "updated": "2013-05-06T14:13:50.000Z",
  "title": "Global ill-posedness of the isentropic system of gas dynamics",
  "authors": [
    "Elisabetta Chiodaroli",
    "Camillo De Lellis",
    "Ondrej Kreml"
  ],
  "comment": "30 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the isentropic compressible Euler system in 2 space dimensions with pressure law $p({\\rho}) = {\\rho}^2$ and we show the existence of classical Riemann data, i.e. pure jump discontinuities across a line, for which there are infinitely many admissible bounded weak solutions (bounded away from the void). We also show that some of these Riemann data are generated by a 1-dimensional compression wave: our theorem leads therefore to Lipschitz initial data for which there are infinitely many global bounded admissible weak solutions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-06T14:13:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L65",
      "35D30",
      "76N15"
    ],
    "keywords": [
      "isentropic system",
      "gas dynamics",
      "global ill-posedness",
      "global bounded admissible weak solutions",
      "lipschitz initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.0123C"
    }
  }
}