We study the Landau-de Gennes Q-tensor model of liquid crystals subjected to an electric
field and develop a fully discrete numerical scheme for its solution. The scheme uses a …

Despite the significant advances in the numerical solution of nonlinear boundary value
problems, most of the existing methods still encounter with a high sensitivity to the initial …

We present a convergent and constraint-preserving numerical discretization of a
mathematical model for the dynamics of a liquid crystal subjected to an electric field. This …

В настоящее время продолжается поиск и создание новых типов устройств
отображения информации на основе ячеек жидких кристаллов (ЖК). Важную роль для …

In smectic-A (SmA) liquid crystals, rod-like molecules are organized into layers with their
optical axis oriented along the normal to these layers. When subject to an external field and …

The variational heat equation is a nonlinear, parabolic equation not in divergence form that
arises as a model for the dynamics of the director field in a nematic liquid crystal. We present …