{
  "id": "0903.4923",
  "version": "v1",
  "published": "2009-03-27T23:29:35.000Z",
  "updated": "2009-03-27T23:29:35.000Z",
  "title": "Quasi-potentials of the entropy functionals for scalar conservation laws",
  "authors": [
    "Giovanni Bellettini",
    "Federica Caselli",
    "Mauro Mariani"
  ],
  "comment": "26 pages, 4 figures",
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "We investigate the quasi-potential problem for the entropy cost functionals of non-entropic solutions to scalar conservation laws with smooth fluxes. We prove that the quasi-potentials coincide with the integral of a suitable Einstein entropy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-27T23:29:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L65",
      "49S05"
    ],
    "keywords": [
      "scalar conservation laws",
      "entropy functionals",
      "entropy cost functionals",
      "suitable einstein entropy",
      "quasi-potential problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.4923B"
    }
  }
}