The Doi kinetic theory for homogeneous flows of rodlike liquid crystalline polymers (LCPs) is extended to inhomogeneous flows through introducing a nonlocal intermolecular potential. An extra term in the form of an elastic body force comes out as a result of this extension. Systematic asympototic analysis in the small Deborah number limit is carried out, and the classical EricksenLeslie equatio...

We developed a full non-local model to nematic elastomers in terms of the displacement and the tensor order parameter. We consider both elastic and nematic contributions. This model allows spatial variation of the order parameter field. We also get the dynamics equation using variation principle applied the Lagrangian and the Rayleigh dissipation function. By using small approximation, we get s...

We formulate the hydrodynamic theory of smectic C* liquid crystals and discuss its application. We follow the Ericksen-Leslie approach with the smectic C* Chen-Lubensky free energy. Based on the flow model that we derived from the nonlinear continuum model of smectic C* liquid crystals, we obtained dynamical properties of the model in homeotropic geometry, where the smectic layers are parallel ...

In this paper, we study a coupled dynamic system describing nematic liquid crystal flows. The system was motivated by the Ericksen-Leslie equations modeling the flow of nematic liquid crystals. The purpose of studying the simplified system is to understand the flow properties of more complicated materials, the material configurations , as well as the interactions between them. Unlike in the pre...

2014 The nature of the flow alignment of nematic liquid crystals is discussed within the hydrodynamic theory of Leslie, Ericksen and Parodi. It is shown that there is a limited range of angles for which flow alignment can occur. With this as a starting point the flow alignment of disc like nematics is discussed. It is proved that only one out of the two models of flow alignment recently discuss...

Optical tweezers are exciting tools with which to explore liquid crystal (LC) systems; the motion of particles held in laser traps through LCs is perhaps the only approach that allows a low Ericksen number regime to be accessed. This offers a new method of studying the microrheology associated with micrometre-sized particles suspended in LC media--and such hybrid systems are of increasing impor...

In this paper we establish the uniformity property of a simplified Ericksen-Leslie system modelling the hydrodynamics of nematic liquid crystals on the two dimensional unit sphere S, namely the uniform convergence in L to a steady state exponentially as t tends to infinity. The main assumption, similar to Topping [15], concerns the equation of liquid crystal director d and states that at infini...