Global existence of weak solution for the 2-D Ericksen–Leslie system

被引：3

作者：

Meng Wang

Wendong Wang

机构：

[1] Zhejiang University,Department of Mathematics

[2] Dalian University of Technology,School of Mathematical Sciences

[3] The Chinese University of Hong Kong,The Institute of Mathematical Sciences

来源：

Calculus of Variations and Partial Differential Equations | 2014年 / 51卷

关键词：

35Q35; 35A01; 76A15; 76D03;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove the global existence of weak solution for two dimensional Ericksen–Leslie system with the Leslie stress and general Ericksen stress under the physical constrains on the Leslie coefficients. We also prove the local well-posedness of the Ericksen–Leslie system in two and three spatial dimensions.

引用

页码：915 / 962

页数：47

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