학술저널
EXISTENCE OF PERIODIC SOLUTIONS IN FERROELECTRIC LIQUID CRYSTALS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 3
-
2010.09571 - 588 (18 pages)
- 2
We introduce the Landau-de Gennes model in order to understand molecular structures in ferroelectric liquid crystals. We investigate equilibrium con¯gurations 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.
1. Introduction
2. An extended Landau - de Gennes energy
3. Basic properties
4. A one-dimensional problem
5. Special periodic solutions
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