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 …

We consider the numerical investigation of surface bound orientational order using unit
tangential vector fields by means of a gradient flow equation of a weak surface Frank–Oseen …

We consider a thin film limit of a Landau–de Gennes Q-tensor model. In the limiting process,
we observe a continuous transition where the normal and tangential parts of the Q-tensor …

We consider a full Navier--Stokes and Q-tensor system for incompressible liquid crystal
flows of nematic type. In the two dimensional periodic case, we prove the existence and …

Abstract We consider the Beris-Edwards system modelling incompressible liquid crystal
flows of nematic type. This couples a Navier-Stokes system for the fluid velocity with a …

The paper is concerned with various issues surrounding the mathematical description of
defects in models of liquid crystals, drawing on experience from solid mechanics. The roles …

We consider the two-dimensional (2D) Landau–de Gennes energy with several elastic
constants, subject to general k-radially symmetric boundary conditions. We show that for …

We present a fully discrete convergent finite difference scheme for the Q-tensor flow of liquid
crystals based on the energy-stable semidiscrete scheme by Zhao et al.[Comput. Methods …

Within the framework of the generalised Landau-de Gennes theory, we identify a Q-tensor-
based energy that reduces to the four-constant Oseen–Frank energy when it is considered …

We propose an unconditionally stable numerical scheme for a 2D dynamic Q-tensor model
of nematic liquid crystals. This dynamic Q-tensor model is an L 2-gradient flow generated by …