[Stabilité du défaut vortex dans la théorie Landau–de Gennes pour les cristaux liquides]
Nous étudions la solution à symétrie radiale associée au défaut de type vortex dans la théorie de Landau–de Gennes pour les cristaux liquides. Nous montrons des résultats dʼexistence, dʼunicité et de stabilité de cette solution.
We analyze the radially symmetric solution corresponding to the vortex defect (the so-called melting hedgehog) in the Landau–de Gennes theory for nematic liquid crystals. We prove the existence, uniqueness and stability results of the melting hedgehog.
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@article{CRMATH_2013__351_13-14_533_0,
author = {Ignat, Radu and Nguyen, Luc and Slastikov, Valeriy and Zarnescu, Arghir},
title = {Stability of the vortex defect in the {Landau{\textendash}de} {Gennes} theory for nematic liquid crystals},
journal = {Comptes Rendus. Math\'ematique},
pages = {533--537},
publisher = {Elsevier},
volume = {351},
number = {13-14},
year = {2013},
doi = {10.1016/j.crma.2013.07.012},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2013.07.012/}
}
TY - JOUR AU - Ignat, Radu AU - Nguyen, Luc AU - Slastikov, Valeriy AU - Zarnescu, Arghir TI - Stability of the vortex defect in the Landau–de Gennes theory for nematic liquid crystals JO - Comptes Rendus. Mathématique PY - 2013 SP - 533 EP - 537 VL - 351 IS - 13-14 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2013.07.012/ DO - 10.1016/j.crma.2013.07.012 LA - en ID - CRMATH_2013__351_13-14_533_0 ER -
%0 Journal Article %A Ignat, Radu %A Nguyen, Luc %A Slastikov, Valeriy %A Zarnescu, Arghir %T Stability of the vortex defect in the Landau–de Gennes theory for nematic liquid crystals %J Comptes Rendus. Mathématique %D 2013 %P 533-537 %V 351 %N 13-14 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2013.07.012/ %R 10.1016/j.crma.2013.07.012 %G en %F CRMATH_2013__351_13-14_533_0
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir. Stability of the vortex defect in the Landau–de Gennes theory for nematic liquid crystals. Comptes Rendus. Mathématique, Tome 351 (2013) no. 13-14, pp. 533-537. doi : 10.1016/j.crma.2013.07.012. http://www.numdam.org/articles/10.1016/j.crma.2013.07.012/
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