Stability of point defects of degree +/- 1/2 in a two-dimensional nematic liquid crystal model

作者：Ignat Radu^*; Nguyen Luc; Slastikov Valeriy; Zarnescu Arghir

来源：Calculus of Variations and Partial Differential Equations, 2016, 55(5): 119.

DOI：10.1007/s00526-016-1051-2

We study k-radially symmetric solutions corresponding to topological defects of charge k/2 for integer k not equal 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 vertical bar k vertical bar = 1 (unlike the case vertical bar k vertical bar > 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 profiles is also established.

• 出版日期2016-10