Existence of Solutions for the Ericksen-Leslie System

被引:0
|
作者
Fang-Hua Lin
Chun Liu
机构
[1] Courant Institute of Mathematical Sciences¶New York University¶New York,
[2] NY 10012,undefined
[3] Department of Mathematics and Center for Materials Physics¶Penn State University¶University Park,undefined
[4] PA 16802,undefined
关键词
Liquid Crystal; Weak Solution; Classical Solution; Asymptotic Stability; Global Existence;
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中图分类号
学科分类号
摘要
We study the general Ericksen-Leslie system, which describes the flow of liquid crystal materials. The dissipation property of the system is established and is used to prove the global existence of weak solutions. We also study the existence of classical solutions and the asymptotic stability of the solutions.
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页码:135 / 156
页数:21
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