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Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals
journal contribution
posted on 2023-06-08, 20:19 authored by Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir ZarnescuWe 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.
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Publication status
- Published
Journal
Archive for Rational Mechanics and AnalysisISSN
0003-9527Publisher
Springer VerlagExternal DOI
Issue
2Volume
215Page range
633-673Place of publication
233 SPRING ST, NEW YORK, NY 10013 USADepartment affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2015-03-13Usage metrics
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