78 citations · 624 across the 43 of their papers we have counts for
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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…
Diffusive transport in two-dimensional nematics
Ibrahim Fatkullin, Valeriy Slastikov
We discuss a dynamical theory for nematic liquid crystals describing the stage of evolution in which the hydrodynamic fluid motion has already equilibrated and the subsequent evolu…
Half-integer point defects in the -tensor theory of nematic liquid crystals
G. Di Fratta, JM Robbins, V. Slastikov +1
We investigate prototypical profiles of point defects in two dimensional liquid crystals within the framework of Landau-de Gennes theory. Using boundary conditions characteristic o…