{
  "id": "2109.11339",
  "version": "v1",
  "published": "2021-09-23T12:40:27.000Z",
  "updated": "2021-09-23T12:40:27.000Z",
  "title": "Global well posedness for a Q-tensor model of nematic liquid crystals",
  "authors": [
    "Miho Murata",
    "Yoshihiro Shibata"
  ],
  "comment": "29 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove the global well posedness and the decay estimates for a $\\mathbb Q$-tensor model of nematic liquid crystals in $\\mathbb R^N$, $N \\geq 3$. This system is coupled system by the Navier-Stokes equations with a parabolic-type equation describing the evolution of the director fields $\\mathbb Q$. The proof is based on the maximal $L_p$ -$L_q$ regularity and the $L_p$ -$L_q$ decay estimates to the linearized problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-23T12:40:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D05"
    ],
    "keywords": [
      "nematic liquid crystals",
      "q-tensor model",
      "decay estimates",
      "director fields",
      "parabolic-type equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}