期刊
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
卷 215, 期 2, 页码 633-673出版社
SPRINGER
DOI: 10.1007/s00205-014-0791-4
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资金
- Hausdorff Research Institute for Mathematics in Bonn
- ANR [ANR-10-JCJC 0106]
- EPSRC [EP/I028714/1]
- Engineering and Physical Sciences Research Council [EP/I028714/1] Funding Source: researchfish
- EPSRC [EP/I028714/1] Funding Source: UKRI
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.
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