{
  "id": "1711.10277",
  "version": "v1",
  "published": "2017-11-28T13:23:24.000Z",
  "updated": "2017-11-28T13:23:24.000Z",
  "title": "Existence of weak solutions to the Ericksen-Leslie model for a general class of free energies",
  "authors": [
    "Etienne Emmrich",
    "Robert Lasarzik"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "A quasistatic model due to Ericksen and Leslie describing incompressible liquid crystals is studied for a general class of free energies. Global existence of weak solutions is proven via a Galerkin approximation with eigenfunctions of a strongly elliptic operator. A novelty is that the principal part of the differential operator appearing in the director equation can be nonlinear.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-28T13:23:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35K52",
      "76A15"
    ],
    "keywords": [
      "general class",
      "weak solutions",
      "free energies",
      "ericksen-leslie model",
      "incompressible liquid crystals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}