Convergence of the ginzburg-landau approximation for the ericksen-leslie system

被引：0
|
作者：
Feng, Zhewen [1 ]
Hong, Min-Chun [1 ]
Mei, Yu [1 ,2 ]
机构：
[1] Department of Mathematics, University of Queensland, Brisbane,QLD,4072, Australia
[2] Gran Sasso Science Institute, L'Aquila (AQ),67100, Italy
来源：
SIAM Journal on Mathematical Analysis | 2020年 / 52卷 / 01期
基金：
澳大利亚研究理事会;
关键词：
Approximation theory;
D O I：
暂无
中图分类号：
O24 [计算数学];
学科分类号：
070102 ;
摘要：
We establish the local well-posedness of the general Ericksen-Leslie system in liquid crystals with the initial velocity and director field in H1 × H2 b . In particular, we prove that the solutions of the Ginzburg-Landau approximation system converge smoothly to the solution of the Ericksen-Leslie system for any t ∈(0, T&Z.ast; ) with a maximal existence time T∗ of the Ericksen-Leslie system. © by SIAM. Unauthorized reproduction of this article is prohibited.
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页码：481 / 523
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