The hydrodynamic Q-tensor model has been used for studying flows of liquid crystals and
liquid crystal polymers. It can be derived from a variational approach together with the …

In this paper, we consider the numerical approximation of a hydrodynamic Ericksen–Leslie
system, which describes the macroscopic continuum of liquid crystals. A numerical …

The switching properties of nematic liquid crystals under electrical and mechanical stresses
play a fundamental role in the design and fabrication of electro-optical devices. Depending …

In this paper, we develop a first-order and a second-order coupled energy stable numerical
scheme respectively for a Q-tensor based hydrodynamic model of nematic liquid crystal …

In this paper, we propose a variational Lagrangian scheme for a modified phase-field model,
which can compute the equilibrium states of the original Allen--Cahn type model. Our …

In this paper, we consider the numerical approximations for a hydrodynamical model of
smectic-A liquid crystals. The model, derived from the variational approach of the modified …

Liquid crystal (LC) photonic devices have attracted intensive attention in recent decades,
due to the merits of tunability, cost-effectiveness, and high efficiency. However, the precise …

Abstract In [18] Paicu and Zarnescu have studied an order tensor system which describes
the flow of a liquid crystal. They have proven the existence of weak solutions, the …

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 …

We present a convergence analysis of an unconditionally energy-stable first-order semi-
discrete numerical scheme designed for a hydrodynamic Q-tensor model, the so-called …