{
  "id": "1312.1636",
  "version": "v1",
  "published": "2013-12-05T18:13:40.000Z",
  "updated": "2013-12-05T18:13:40.000Z",
  "title": "Non-existence and Non-uniqueness for Multidimensional Sticky Particle Systems",
  "authors": [
    "Alberto Bressan",
    "Truyen Nguyen"
  ],
  "comment": "15 pages, 5 figures",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The paper is concerned with sticky weak solutions to the equations of pressureless gases in two or more space dimensions. Various initial data are constructed, showing that the Cauchy problem can have (i) two distinct sticky solutions, or (ii) no sticky solution, not even locally in time. In both cases the initial density is smooth with compact support, while the initial velocity field is continuous.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-05T18:13:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multidimensional sticky particle systems",
      "non-existence",
      "non-uniqueness",
      "sticky weak solutions",
      "distinct sticky solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.1636B"
    }
  }
}