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.

引用

页码：481 / 523

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