{
  "id": "1208.3007",
  "version": "v2",
  "published": "2012-08-15T01:25:00.000Z",
  "updated": "2012-10-11T16:01:59.000Z",
  "title": "Asymptotic Behavior of Solutions to the Liquid Crystal System in $H^m(\\mathbb{R}^3)$",
  "authors": [
    "Mimi Dai",
    "Maria E. Schonbek"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study the large time behavior of regular solutions to a nematic liquid crystal system in Sobolev spaces $H^m(\\R^3)$ for $m\\geq 0$.We obtain optimal decay rates in $H^m(R^3)$ spaces, in the sense that the rates coincide with the rates of the underlying linear counterpart. The fluid under consideration has constant density and small initial data.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-11T16:01:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic behavior",
      "nematic liquid crystal system",
      "large time behavior",
      "small initial data",
      "optimal decay rates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.3007D"
    }
  }
}