Mathematical studies of nematic liquid crystals address in general two rather different
perspectives: that of fluid mechanics and that of calculus of variations. The former focuses on …

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 …

We consider the Landau− de Gennes variational problem on a bounded, two dimensional
domain, subject to Dirichlet smooth boundary conditions. We prove that minimizers are …

Some recent analytical papers have explored limiting behaviors of Landau-deGennes
models for liquid crystals in certain extreme ranges of the model parameters: limits of" …

We study minimizers of the Landau-de Gennes energy in R 3\B 1 (0) with external magnetic
field in the large particle limit. We impose strong tangential anchoring and uniaxiality of the …

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 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× 3 matrices …

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 use the method of Γ Γ-convergence to study the behavior of the Landau-de Gennes
model for a nematic liquid crystalline film attached to a general fixed surface in the limit of …

We use the method of Γ Γ-convergence to study the behavior of the Landau-de Gennes
model for a nematic liquid crystalline film in the limit of vanishing thickness. In this asymptotic …