• Journal of the Chungcheong Mathematical Society
• /
• v.26 no.3
• /
• pp.647-656
• /
• 2013

Taking into account the flexoelectric effects, we consider a gradient flow of Landau-de Gennes energy which generalizes the Oseen-Frank energy. In this article, we discuss existence of weak solutions of the gradient flow in an appropriate function space.

• Journal of the Chungcheong Mathematical Society
• /
• v.34 no.1
• /
• pp.61-67
• /
• 2021

In this paper, we investigate nontrivial equilibrium states of the Landau-de Gennes energy functional in a small domain.

• Journal of the Chungcheong Mathematical Society
• /
• v.36 no.1
• /
• pp.25-37
• /
• 2023

In this paper, we consider the Landau-de Gennes energy functional for liquid crystals confined in a thin cylindrical domain and study defects of molecular directions in the system by applications of external fields.

• Journal of the Chungcheong Mathematical Society
• /
• v.23 no.3
• /
• pp.571-588
• /
• 2010

We introduce the Landau-de Gennes model in order to understand molecular structures in ferroelectric liquid crystals. We investigate equilibrium configurations of the governing energy functional by means of bifurcation analysis. In particular, we obtain periodic solutions of the functional, which is a signature of a rich variety of applications of ferroelectric materials.