We present a numerical method, based on a tensor order parameter description of a nematic
phase, that allows fully anisotropic elasticity. Our method thus extends the Landau-de …

We consider the generalized Ericksen model of liquid crystals, which is an energy with 8
independent “elastic” constants that depends on two order parameters n (director) and s …

We present a robust discretization of the Ericksen model of liquid crystals with variable
degree of orientation coupled with colloidal effects and electric fields. The total energy …

This paper discusses modelling and numerical issues in the simulation of the Landau-de
Gennes (LdG) model of nematic liquid crystals (LCs) with cholesteric effects. We propose a …

This chapter is about the modeling of nematic liquid crystals (LCs) and their numerical
simulation. We begin with an overview of the basic physics of LCs and discuss some of their …

This thesis gives an analysis of modeling and numerical issues in the Landau-de Gennes
(LdG) model of nematic liquid crystals (LCs) with cholesteric effects. We derive various time …

Nematic molecules confined in an asymmetric π cell and subjected to strong electric fields
exhibit textural distortions involving nematic order variations, described by the Landau-de …

In this paper we study theoretically the equilibrium configurations of two-dimensional
nematic liquid crystals on a cylindrical surface. Configurations are described through a …

Nematic liquid crystals are aggregates of calamitic molecules and most related experimental
phenomena are described well by their mean molecular orientation, ie by the director, and …

Of interest in this work are nematic continua that exhibit electromechanical coupling. The first
part of this paper presents a novel variational formulation with a potential energy depending …