Liquid crystals are a type of soft matter that is intermediate between crystalline solids and
isotropic fluids. The study of liquid crystals has made tremendous progress over the past four …

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We consider the Landau-de Gennes variational model for nematic liquid crystals, in three-
dimensional domains. More precisely, we study the asymptotic behaviour of minimizers as …

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 …

We study global minimizers of the Landau–de Gennes (LdG) energy functional for nematic
liquid crystals, on arbitrary three-dimensional simply connected geometries with …

We study a singular nonlinear ordinary differential equation on intervals 0,R) with R≤+∞,
motivated by the Ginzburg--Landau models in superconductivity and Landau--de Gennes …

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Abstract Within the Landau–de Gennes theory of liquid crystals, we study theoretically the
equilibrium configurations with uniaxial symmetry. We show that the uniaxial symmetry …

We study the effects of additive and multiplicative noise on the solution landscape of nematic
liquid crystals confined to a square domain within the Landau-de Gennes framework, as well …

D'abord, nous montrons l'existence et l'unicité du profil radial positif u. La preuve de
l'existence du profil u repose sur une approche variationnelle, tandis que l'unicité est basée …