212 citations · 844 across the 50 of their papers we have counts for
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math.AP2016
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…
math.AP2016
Global well-posedness and twist-wave solutions for the inertial Qian-Sheng model of liquid crystals
Francesco de Anna, Arghir Zarnescu
We consider the inertial Qian-Sheng model of liquid crystals which couples a hyperbolic-type equation involving a second-order material derivative with a forced incompressible Navi…
math.AP2016
Sphere-valued harmonic maps with surface energy and the problem
Stuart Day, Arghir Dani Zarnescu
We consider an energy functional motivated by the celebrated problem in the Oseen-Frank theory of nematic liquid crystals. It is defined for sphere-valued functions and ap…