Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00220-003-0875-8
Title: Landau-de Gennes model of liquid crystals and critical wave number
Authors: Pan, X.-B. 
Issue Date: Aug-2003
Citation: Pan, X.-B. (2003-08). Landau-de Gennes model of liquid crystals and critical wave number. Communications in Mathematical Physics 239 (1-2) : 343-382. ScholarBank@NUS Repository. https://doi.org/10.1007/s00220-003-0875-8
Abstract: We study some variational problems of the Landau-de Gennes functional under Neumann or Dirichlet boundary conditions, which describes phase transitions of liquid crystals. We investigate the effect of the parameters, especially the chirality and the wave number, on the behavior of the minimizers. In order to describe bifurcation of a smectic phase from a nematic phase we introduce the critical wave number Qc3 and give various estimates. We examine the behavior of minimizers with small chirality and large elastic coefficients.
Source Title: Communications in Mathematical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/103478
ISSN: 00103616
DOI: 10.1007/s00220-003-0875-8
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