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arXiv · 0812.1758

Contribution to the asymptotic analysis of the Landau-de Gennes functional

Nicolas Raymond
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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, then, the minimizers have to be nematic phases.

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Nicolas Raymond. 2009-06-04. Contribution to the asymptotic analysis of the Landau-de Gennes functional. https://arxiv.org/abs/0812.1758

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