Topological analysis of disclinations in nematic liquid crystals is an interesting and diverse
topic that goes from strict mathematical theorems to applications in elaborate systems found …

Defects in liquid crystals are of great practical importance and theoretical interest. Despite
tremendous efforts, predicting the location and transition of defects under various topological …

Abstract Within the Landau–de Gennes theory of liquid crystals, we study the equilibrium
configurations of a nematic cell with twist boundary conditions. Under the assumption that …

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We propose a Landau–de Gennes variational theory fit to simultaneously describe isotropic,
nematic, smectic-A, and smectic-C phases of a liquid crystal. The unified description allows …

Variational problems for the liquid crystal energy of mappings from three-dimensional
domains into the real projective plane are studied. More generally, we study the dipole …

We consider a nematic liquid crystal confined between two cylinders of radii r1> 0 and r2>
r1. We suppose that the lateral surfaces induce a uniaxial anchoring with the optic axis …

An individual defect in a nematic liquid crystal moves not only in response to its interaction
with other defects but also in response to external fields. We analyze the motion of a wedge …

We present an asymptotic theory that includes in a perturbative expansion the coupling
effects between the director dynamics and the velocity field in a nematic liquid crystal …

We study the interactions between a nematic liquid crystal disclination and the surface of the
half-space which bounds it. When strong anchoring conditions are applied on the boundary …