78 citations · 84 across the 12 of their papers we have counts for
6 papers
On a hyperbolic system arising in liquid crystals modeling
E. Feireisl, E. Rocca, G. Schimperna +1
We consider a model of liquid crystals, based on a nonlinear hyperbolic system of differential equations, that represents an inviscid version of the model proposed by Qian and Shen…
Liquid crystal defects in the Landau-de Gennes theory in two dimensions-beyond the one-constant approximation
Georgy Kitavtsev, Jonathan M Robbins, Valeriy Slastikov +1
We consider the two-dimensional Landau-de Gennes energy with several elastic constants, subject to general -radially symmetric boundary conditions. We show that for generic elas…
Dynamic Cubic Instability in a 2D Q-tensor Model for Liquid Crystals
Gautam Iyer, Xiang Xu, Arghir Zarnescu
We consider a four-elastic-constant Landau-de Gennes energy characterizing nematic liquid crystal configurations described using the -tensor formalism. The energy contains a cub…
Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
We investigate stability properties of the radially symmetric solution corresponding to the vortex defect (so called "melting hedgehog") in the framework of the Landau - de Gennes…
Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
We study a singular nonlinear ordinary differential equation on intervals with , motivated by the Ginzburg-Landau models in superconductivity and Landau-de Ge…
Global existence and regularity for the full coupled Navier-Stokes and Q-tensor system
Marius Paicu, Arghir Zarnescu
We study the global existence and regularity of solutions for a system describing the evolution of a nematic liquid crystal fluid. The fluid is described by a system that couples a…