{
  "id": "1810.09326",
  "version": "v1",
  "published": "2018-10-22T14:47:10.000Z",
  "updated": "2018-10-22T14:47:10.000Z",
  "title": "Young-measure solutions for multidimensional systems of conservation laws",
  "authors": [
    "Pablo Pedregal"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We explore Young measure solutions of systems of conservation laws through an alternative variational method that introduces a suitable, non-negative error functional to measure departure of feasible fields from being a weak solution. Young measure solutions are then understood as being generated by minimizing sequences for such functional much in the same way as in non-convex, vector variational problems. We establish an existence result for such generalized solutions based on an appropriate structural condition on the system. We finally discuss how the classic concept of a Young measure solution can be improved, and support our arguments by considering a scalar, single equation in dimension one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-22T14:47:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conservation laws",
      "young measure solution",
      "multidimensional systems",
      "young-measure solutions",
      "appropriate structural condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}