{
  "id": "2202.01955",
  "version": "v1",
  "published": "2022-02-04T03:43:58.000Z",
  "updated": "2022-02-04T03:43:58.000Z",
  "title": "On singularities of Ericksen-Leslie system in dimension three",
  "authors": [
    "Tao Huang",
    "Peiyong Wang"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1504.01080",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we consider the initial and boundary value problem of Ericksen-Leslie system modeling nematic liquid crystal flows in dimension three. Two examples of singularity at finite time are constructed. The first example is constructed in a special axisymmetric class with suitable axisymmetric initial and boundary data, while the second example is constructed for an initial data with small energy but nontrivial topology. A counter example of maximum principle to the system is constructed by utilizing the Poiseuille flow in dimension one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-04T03:43:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singularity",
      "modeling nematic liquid crystal flows",
      "ericksen-leslie system modeling nematic liquid",
      "system modeling nematic liquid crystal",
      "special axisymmetric class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}