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January/February 2010 Contribution to the asymptotic analysis of the Landau-de Gennes functional
Nicolas Raymond
Adv. Differential Equations 15(1/2): 159-180 (January/February 2010).

Abstract

In this paper, we are interested in the Landau-de Gennes functional introduced to study the transition between the smectic and nematic phases of a liquid crystal. We define a reduced functional by constraining the director field to satisfy a non-homogeneous Dirichlet condition and we prove that, below a critical temperature and if some elastic coefficients are explicitly large, the minimizers have to be nematic phases.

Citation

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Nicolas Raymond. "Contribution to the asymptotic analysis of the Landau-de Gennes functional." Adv. Differential Equations 15 (1/2) 159 - 180, January/February 2010.

Information

Published: January/February 2010
First available in Project Euclid: 18 December 2012

zbMATH: 1191.35109
MathSciNet: MR2588393

Subjects:
Primary: 35J10, 35Q, 81Q20, 82D30

Rights: Copyright © 2010 Khayyam Publishing, Inc.

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Vol.15 • No. 1/2 • January/February 2010
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