{
  "id": "1711.03371",
  "version": "v1",
  "published": "2017-11-09T13:38:16.000Z",
  "updated": "2017-11-09T13:38:16.000Z",
  "title": "Weak-strong uniqueness for measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank free energy",
  "authors": [
    "Robert Lasarzik"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We analyze the Ericksen-Leslie system equipped with the Oseen-Frank energy in three space dimensions. Recently, the author introduced the concept of measure-valued solutions to this system and showed the global existence of these generalized solutions. In this paper, we show that suitable measure-valued solutions, which fulfill an associated energy inequality, enjoy the weak-strong uniqueness property, i. e. the measure-valued solution agrees with a strong solution if the latter exists. The weak-strong uniqueness is shown by a relative energy inequality for the associated nonconvex energy functional.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-09T13:38:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35K52",
      "35R06",
      "76A15"
    ],
    "keywords": [
      "measure-valued solution",
      "oseen-frank free energy",
      "ericksen-leslie model",
      "energy inequality",
      "weak-strong uniqueness property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}