Stability of point defects of degree in a two-dimensional nematic liquid crystal model
Calculus of Variations and Partial Differential Equations, 2016•Springer
We study k-radially symmetric solutions corresponding to topological defects of charge k 2 k
2 for integer k\not= 0 k≠ 0 in the Landau-de Gennes model describing liquid crystals in two-
dimensional domains. We show that the solutions whose radial profiles satisfy a natural sign
invariance are stable when| k|= 1| k|= 1 (unlike the case| k|> 1| k|> 1 which we treated
before). The proof crucially uses the monotonicity of the suitable components, obtained by
making use of the cooperative character of the system. A uniqueness result for the radial …
2 for integer k\not= 0 k≠ 0 in the Landau-de Gennes model describing liquid crystals in two-
dimensional domains. We show that the solutions whose radial profiles satisfy a natural sign
invariance are stable when| k|= 1| k|= 1 (unlike the case| k|> 1| k|> 1 which we treated
before). The proof crucially uses the monotonicity of the suitable components, obtained by
making use of the cooperative character of the system. A uniqueness result for the radial …
Abstract
We study k-radially symmetric solutions corresponding to topological defects of charge for integer in the Landau-de Gennes model describing liquid crystals in two-dimensional domains. We show that the solutions whose radial profiles satisfy a natural sign invariance are stable when (unlike the case which we treated before). The proof crucially uses the monotonicity of the suitable components, obtained by making use of the cooperative character of the system. A uniqueness result for the radial profiles is also established.
Springer
以上显示的是最相近的搜索结果。 查看全部搜索结果