{
  "id": "1501.01092",
  "version": "v1",
  "published": "2015-01-06T07:20:03.000Z",
  "updated": "2015-01-06T07:20:03.000Z",
  "title": "Duality theory and optimal transport for sand piles growing in a silos",
  "authors": [
    "Luigi De Pascale",
    "Chloé Jimenez"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove existence and uniqueness of solutions for a system of PDEs which describes the growth of a sandpile in a silos with flat bottom under the action of a vertical, measure source. The tools we use are a discrete approximation of the source and the duality theory for optimal transport (or Monge-Kantorovich) problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-06T07:20:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q20",
      "35K20",
      "35K55",
      "47J20",
      "49K30",
      "35B99"
    ],
    "keywords": [
      "optimal transport",
      "sand piles growing",
      "duality theory",
      "measure source",
      "discrete approximation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150101092D"
    }
  }
}