{
  "id": "1711.04638",
  "version": "v1",
  "published": "2017-11-13T15:35:07.000Z",
  "updated": "2017-11-13T15:35:07.000Z",
  "title": "Measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energy",
  "authors": [
    "Robert Lasarzik"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1711.03371",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this article, we prove the existence of measure-valued solutions to the Ericksen-Leslie system equipped with the Oseen-Frank energy. We introduce the concept of generalized gradient Young measures. Via a Galerkin approximation, we show the existence of weak solutions to a regularized system and attain measure-valued solutions for vanishing regularization. Additionally, it is shown that the measure-valued solution fulfills an energy inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-13T15:35:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35K65",
      "76A15"
    ],
    "keywords": [
      "oseen-frank energy",
      "ericksen-leslie model",
      "generalized gradient young measures",
      "energy inequality",
      "measure-valued solution fulfills"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}