{
  "id": "2107.01440",
  "version": "v1",
  "published": "2021-07-03T14:12:18.000Z",
  "updated": "2021-07-03T14:12:18.000Z",
  "title": "Pattern Formation in Landau-de Gennes Theory",
  "authors": [
    "Ho-Man Tai",
    "Yong Yu"
  ],
  "comment": "86 pages",
  "categories": [
    "math.AP",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "We study the spherical droplet problem in 3D-Landau de Gennes theory with finite temperature. By rigorously constructing the biaxial-ring solutions and split-core-segment solutions, we theoretically confirm the numerical results of Gartland-Mkaddem in [14]. The structures of disclinations are also addressed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-03T14:12:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "landau-de gennes theory",
      "pattern formation",
      "spherical droplet problem",
      "finite temperature",
      "split-core-segment solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 86,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}