Well-Posedness of the Ericksen-Leslie System

被引：58
作者：
Wang, Wei [1 ,2 ]
Zhang, Pingwen [1 ,3 ]
Zhang, Zhifei [1 ,3 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[2] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China
[3] Peking Univ, LMAM, Beijing 100871, Peoples R China
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2013年 / 210卷 / 03期
关键词：
LIQUID-CRYSTALS; EQUATIONS;
D O I：
10.1007/s00205-013-0659-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the local well-posedness of the Ericksen-Leslie system, and the global well-posedness for small initial data under a physical constraint condition on the Leslie coefficients, which ensures that the energy of the system is dissipated. Instead of the Ginzburg-Landau approximation, we construct an approximate system with the dissipated energy based on a new formulation of the system.
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页码：837 / 855
页数：19
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