TY - JOUR
T1 - Static and Dynamic Theories of Liquid Crystals
AU - Fanghua Lin  & Liu Chun 
JO - Journal of Partial Differential Equations
VL - 4
SP - 289
EP - 330
PY - 2001
DA - 2001/11
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5486.html
KW - Static theory
KW - Dynamic theory
KW - liquid crystals
KW - Smectic A materials
AB -  The study of liquid crystals gives rise to many fascinating but difficult mathematical problems. The purpose of this paper is to briefly summarize some recent advances, as well as to describe the present state of art of the theory of liquid crystals. For the static theory, we emphasis on the theory of defects and the theory of Smectic A materials. We will also study the Ericksen-Leslie theory for the liquid crystal flow. The well-posedness as well as the motion of the defects will be discussed.