Trajectory attractors for the Sun–Liu model for nematic liquid crystals in 3D

Q-tensor model for electrokinetics in nematic liquid crystals

We use a variational principle to derive a mathematical model for a nematic electrolyte in which the liquid crystalline component is described in terms of a second-rank order tensor. The model extends the previously developed director-based theory and accounts for presence of disclinations and possible biaxiality. We verify the model by considering a simple but illustrative example of liquid cr...

the search for the self in becketts theatre: waiting for godot and endgame

this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...

On a compressible non-isothermal model for nematic liquid crystals

where the functions ρ, u, θ and d represent the mass density,the velocity field, the absolute temperature and the unit vector field that represents the macroscopic molecular orientation of the liquid crystal material. P stands for the pressure, S denotes the viscous stress tensor. The positive constants ν, κ denote the competition between kinetic energy and potential energy, and microscopic ela...

Models for biaxial nematic liquid crystals

Nematic Liquid Crystals: Defects

There are two types of defects in the uniaxial nematic F phase: line defects (disclinations) and point defects (hedgehogs and boojums). These are reviewed at three levels: (i) experimental observations; (ii) topological classification; and (iii) curvature elasticity. The reader is referred to the textbooks on liquid crystals (Chandrasekhar 1992, de Gennes and Prost 1993), defects (Kltman 1983),...