{
  "id": "2105.10652",
  "version": "v1",
  "published": "2021-05-22T07:07:51.000Z",
  "updated": "2021-05-22T07:07:51.000Z",
  "title": "From the Landau-de Gennes theory to the Ericksen-Leslie theory in dimension two",
  "authors": [
    "Zhouping Xin",
    "Xiaotao Zhang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study the connection between the Ericksen-Leslie equations and the Beris-Edwards equations in dimension two. It is shown that the weak solutions to the Beris-Edwards equations converge to the one to the Ericksen-Leslie equations as the elastic coefficient tends to zero. Moreover, the limiting weak solutions to the Ericksen-Leslie equations may have singular points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-22T07:07:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "landau-de gennes theory",
      "ericksen-leslie theory",
      "ericksen-leslie equations",
      "elastic coefficient tends",
      "beris-edwards equations converge"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}