{
  "id": "1912.10429",
  "version": "v1",
  "published": "2019-12-22T12:13:59.000Z",
  "updated": "2019-12-22T12:13:59.000Z",
  "title": "Concentration-cancellation in the Ericksen-Leslie model",
  "authors": [
    "Joshua Kortum"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish the subconvergence of weak solutions to the Ginzburg-Landau approximation to global-in-time weak solutions of the Ericksen-Leslie model for nematic liquid crystals on the torus $\\mathbb{T}^2$. The key argument is a variation of concentration-cancellation methods originally introduced by DiPerna and Majda to investigate the weak stability of solutions to the (steady-state) Euler equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-22T12:13:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35K55",
      "76A15",
      "58E20"
    ],
    "keywords": [
      "ericksen-leslie model",
      "nematic liquid crystals",
      "global-in-time weak solutions",
      "ginzburg-landau approximation",
      "concentration-cancellation methods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}