期刊
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
卷 33, 期 4, 页码 1131-1152出版社
EUROPEAN MATHEMATICAL SOC-EMS
DOI: 10.1016/j.anihpc.2015.03.007
关键词
Nonlinear elliptic PDE system; Singular ODE system; Stability; Vortex; Liquid crystal defects
资金
- Mathematisches Forschungsinstitut Oberwolfach
- Centre International de Rencontres Mathematiques
- Institut Henri Poincare
- ANR [ANR-14-CE25-0009-01]
- EPSRC [EP/K02390X/1]
- Engineering and Physical Sciences Research Council [EP/I028714/1, EP/K02390X/1] Funding Source: researchfish
- EPSRC [EP/K02390X/1, EP/I028714/1] Funding Source: UKRI
We study a class of symmetric critical points in a variational 2D Landau-de Gennes model where the state of nematic liquid crystals is described by symmetric traceless 3 x 3 matrices. These critical points play the role of topological point defects carrying a degree k/2 for a nonzero integer k. We prove existence and study the qualitative behavior of these symmetric solutions. Our main result is the instability of critical points when vertical bar k vertical bar >= 2. (C) 2015 Elsevier Masson SAS. All rights reserved.
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