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June 2012 The Effect of External Fields in the Theory of Liquid Crystals
Junichi ARAMAKI
Tokyo J. Math. 35(1): 181-211 (June 2012). DOI: 10.3836/tjm/1342701350

Abstract

We consider the response of external field to the theory of liquid crystals. We treat the Landau-de Gennes functional with the Dirichlet boundary condition for the director field which may be non-constant. We show that there exist two families of critical points such that one carries out the superheating fields of superconductors and the other one carries out strong stability. We also show that under some conditions, strong field does not bring the pure nematic state which is different response from superconductors.

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Junichi ARAMAKI. "The Effect of External Fields in the Theory of Liquid Crystals." Tokyo J. Math. 35 (1) 181 - 211, June 2012. https://doi.org/10.3836/tjm/1342701350

Information

Published: June 2012
First available in Project Euclid: 19 July 2012

zbMATH: 1250.82048
MathSciNet: MR2977451
Digital Object Identifier: 10.3836/tjm/1342701350

Subjects:
Primary: 82D30
Secondary: 35A15, 58E50

Rights: Copyright © 2012 Publication Committee for the Tokyo Journal of Mathematics

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Vol.35 • No. 1 • June 2012
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