Article ID Journal Published Year Pages File Type
4617212 Journal of Mathematical Analysis and Applications 2013 9 Pages PDF
Abstract

We consider, in the Landau–de Gennes theoretical framework of a QQ-tensor description of nematic liquid crystals, a radial hedgehog defect with strong anchoring conditions in a ball B⊂R3B⊂R3. We show that the scalar order parameter is monotonic, and we prove uniqueness of the minimizing hedgehog below the spinodal temperature T∗T∗.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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