Journal title
SIAM Journal on Applied Mathematics
DOI
10.1137/17M1124656
Issue
6
Volume
77
Last updated
2024-09-14T01:18:36.733+01:00
Page
1851-1875
Abstract
We study the azimuthal defect-free nematic state on a two-dimensional annulus within a simplified and reduced two-dimensional Landau–de Gennes model for nematic liquid crystals. We perform a detailed asymptotic analysis of the instabilities of the defect-free state in terms of a dimensionless material and temperature-dependent variable and the annular aspect ratio. The asymptotic analysis is accompanied by a rigorous local stability result, again in terms of a dimensionless material and temperature-dependent parameter and annular aspect ratio. In contrast to Oseen-Frank predictions, the defect-free state can be unstable in this model, with elastic isotropy and strong anchoring, for a range of macroscopically relevant annular aspect ratios.
Symplectic ID
724280
Submitted to ORA
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Publication type
Journal Article
Publication date
02 Nov 2017