EXISTENCE OF PERIODIC SOLUTIONS IN FERROELECTRIC LIQUID CRYSTALS

• 발행기관: 충청수학회
• 저자명: Jin hae Park
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 3, 571~588쪽, 전체 18쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.09.30

영문 초록

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.

목차

1. Introduction

2. An extended Landau - de Gennes energy

3. Basic properties

4. A one-dimensional problem

5. Special periodic solutions

References