Partial Sobolev spaces and anisotropic smectic liquid crystals

被引：3
|
作者：
Pan, Xing-Bin [1 ,2 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
[2] NYU Shanghai, NYU ECNU Inst Math Sci, Shanghai 200062, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 51卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
PARTIAL REGULARITY; PHASE; MODEL;
D O I：
10.1007/s00526-013-0701-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The partial Sobolev spaces with respect to a vector field are introduced, and are used to study minimization problems of the functionals which are degenerate in the sense that they do not have control on either the tangential part or the perpendicular part of the magnetic gradients. Based on these results we obtain the asymptotic behavior of the minimizers of the anisotropic Landau-de Gennes functional of smectic liquid crystals, as one of the anisotropy coefficients approaches to zero.
引用
收藏
页码：963 / 998
页数：36
相关论文
共 50 条
12345