{
  "id": "1307.8065",
  "version": "v2",
  "published": "2013-07-30T17:46:07.000Z",
  "updated": "2014-01-08T16:15:55.000Z",
  "title": "Biaxiality in the asymptotic analysis of a 2-D Landau-de Gennes model for liquid crystals",
  "authors": [
    "Giacomo Canevari"
  ],
  "comment": "34 pages, 2 figures; typos corrected, minor changes in proofs. Results are unchanged",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the Landau-de Gennes variational problem on a bound\\-ed, two dimensional domain, subject to Dirichlet smooth boundary conditions. We prove that minimizers are maximally biaxial near the singularities, that is, their biaxiality parameter reaches the maximum value $1$. Moreover, we discuss the convergence of minimizers in the vanishing elastic constant limit. Our asymptotic analysis is performed in a general setting, which recovers the Landau-de Gennes problem as a specific case.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-08T16:15:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J25",
      "35J61",
      "35B40",
      "35Q70"
    ],
    "keywords": [
      "landau-de gennes model",
      "asymptotic analysis",
      "liquid crystals",
      "landau-de gennes variational problem",
      "dirichlet smooth boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.8065C"
    }
  }
}