This article reviews some of the recent progress in the simulation of liquid crystals across a
range of length and time scales. Simulators now have an extensive range of models at their …

A review is presented of molecular and mesoscopic computer simulations of liquid
crystalline systems. Molecular simulation approaches applied to such systems are …

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 …

We study a complex non-Newtonian fluid that models the flowof nematic liquid crystals. The
fluid is described by a system that couples a forced Navier–Stokes system with a parabolic …

In this paper we study the full system of incompressible liquid crystals, as modeled in the Q-
tensor framework. Under certain conditions we prove the global existence of weak solutions …

This Letter investigates the defect structures that arise between two colloidal spheres
immersed in a nematic liquid crystal. Molecular simulations and a dynamic field theory are …

Consumer demand for high resolution and high refresh-rate displays has naturally led to the
fabrication of liquid crystal displays with ever smaller pixels. As a consequence, fringing …

Topological defects are a ubiquitous phenomenon across different physical systems. A
better understanding of defects can be helpful in elucidating the physical behaviors of many …

Umbilic defects of strength s=±1 were induced in a nematic liquid crystal with negative
dielectric anisotropy, confined to Hele-Shaw cells with homeotropic boundary conditions …

Existence and uniqueness of local strong solutions for the Beris--Edwards model for nematic
liquid crystals, which couples the Navier-Stokes equations with an evolution equation for the …