Static and Dynamic Theories of Liquid Crystals

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Volume 14, Issue 4

Fanghua Lin & Liu Chun

J. Part. Diff. Eq., 14 (2001), pp. 289-330.

Published online: 2001-11

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Abstract

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.

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Static theory Dynamic theory liquid crystals Smectic A materials

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@Article{JPDE-14-289, author = {Fanghua Lin and Liu Chun }, title = {Static and Dynamic Theories of Liquid Crystals}, journal = {Journal of Partial Differential Equations}, year = {2001}, volume = {14}, number = {4}, pages = {289--330}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5486.html} }

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.

Fanghua Lin and Liu Chun . (2001). Static and Dynamic Theories of Liquid Crystals. Journal of Partial Differential Equations. 14 (4). 289-330. doi:

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