{
  "id": "2006.01679",
  "version": "v1",
  "published": "2020-06-02T14:54:53.000Z",
  "updated": "2020-06-02T14:54:53.000Z",
  "title": "On a Shape Optimization Problem for Tree Branches",
  "authors": [
    "Alberto Bressan",
    "Sondre T. Galtung"
  ],
  "comment": "23 pages, 10 figures",
  "categories": [
    "math.OC"
  ],
  "abstract": "This paper is concerned with a shape optimization problem, where the functional to be maximized describes the total sunlight collected by a distribution of tree leaves, minus the cost for transporting water and nutrient from the base of the trunk to all the leaves. In the case of 2 space dimensions, the solution is proved to be unique, and explicitly determined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-02T14:54:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q10",
      "49Q20"
    ],
    "keywords": [
      "shape optimization problem",
      "tree branches",
      "space dimensions",
      "tree leaves",
      "total sunlight"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}