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 study dilute suspensions of magnetic nanoparticles in a nematic host, on two-
dimensional polygons. These systems are described by a nematic order parameter and a …

Systems of rod-shaped viruses have long been important to the science of living liquid
crystals, as their monodispersity and uniform charge make them convenient model systems …

For a smooth bounded domain G⊂ R 3, we consider maps n: R 3\G→ S 2 minimizing the
energy E (n)=∫ R 3\G|∇ n| 2+ F s (n⌊∂ G) among S 2-valued map such that n (x)≈ n 0 as …

We consider a Landau-de Gennes model for a polydisperse, inhomogeneous suspension of
colloidal inclusions in a nematic host, in the dilute regime. We study the homogenised limit …

We study a quantum-dots (QDs) dispersed bent-core nematic liquid crystalline system in
planar geometry and present experimental measurements of the birefringence (Δ n), order …

We study a variational model for ferronematics in two-dimensional domains, in the “super-
dilute” regime. The free energy functional consists of a reduced Landau-de Gennes energy …

This paper analytically explores a simplified model for the hydrodynamics of nematic liquid
crystal colloids. We integrate a Stokes equation for the velocity field with a Ginzburg-Landau …

We present a perspective on several current research directions relevant to the
mathematical design of new materials. We discuss:(i) design problems for phase …

Soft matter comprises a variety of physical systems that can be structurally altered by small
stresses of the magnitude comparable to thermal fluctuations. They encompass a wide …