Stability of the Melting Hedgehog in the Landau–de Gennes Theory of Nematic Liquid Crystals

Radu Ignat, Luc Nguyen, Valeriy Slastikov*, Arghir Zarnescu

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

26 Citations (Scopus)

Abstract

We investigate stability properties of the radially symmetric solution corresponding to the vortex defect (the so called “melting hedgehog”) in the framework of the Landau–de Gennes model of nematic liquid crystals. We prove local stability of the melting hedgehog under arbitrary Q-tensor valued perturbations in the temperature regime near the critical supercooling temperature. As a consequence of our method, we also rediscover the loss of stability of the vortex defect in the deep nematic regime.

Original languageEnglish
Pages (from-to)633-673
Number of pages41
JournalArchive for Rational Mechanics and Analysis
Volume215
Issue number2
DOIs
Publication statusPublished - 2014

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