Some properties of the nematic radial hedgehog in Landau-de Gennes' theory

Abstract

In the Landau-de Gennes theoretical framework of a $Q-tensordescriptionofnematicliquidcrystals,weconsideraradialhedgehogdefectwithstronganchoringconditionsinaball$B \subset \mathbb{R}^3$.Weshowthatthescalarorderparameterismonotonic,andweproveuniquenessoftheminimizinghedgehogbelowthespinodaltemperature$T^\ast$ .

14 pages

Cited by in corpus (16)

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