{
  "id": "1210.7103",
  "version": "v1",
  "published": "2012-10-26T11:47:33.000Z",
  "updated": "2012-10-26T11:47:33.000Z",
  "title": "Existence and uniqueness of solutions for a boundary value problem arising from granular matter theory",
  "authors": [
    "Graziano Crasta",
    "Annalisa Malusa"
  ],
  "comment": "25 pages, 3 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a system of PDEs of Monge-Kantorovich type that, in the isotropic case, describes the stationary configurations of two-layers models in granular matter theory with a general source and a general boundary data. We propose a new weak formulation which is consistent with the physical model and permits us to prove existence and uniqueness results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-26T11:47:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A02",
      "35J25"
    ],
    "keywords": [
      "granular matter theory",
      "boundary value problem arising",
      "general boundary data",
      "uniqueness results",
      "isotropic case"
    ],
    "publication": {
      "doi": "10.1016/j.jde.2015.04.032",
      "journal": "Journal of Differential Equations",
      "year": 2015,
      "month": "Oct",
      "volume": 259,
      "number": 8,
      "pages": 3656
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JDE...259.3656C"
    }
  }
}