An extension Landau-Lifshitz model in studying soft ferromagnetic films

被引:0
作者
Li, Jing-na [1 ]
Wang, Xiao-feng [1 ]
Yao, Zheng-an [1 ]
机构
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
来源
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2007年 / 23卷 / 03期
基金
中国国家自然科学基金;
关键词
Landau-Lifshitz equation; thin film; penalty approximation; compensated compactness;
D O I
10.1007/s10255-007-0382-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we propose a model in studying soft ferromagnetic films, which is readily accessible experimentally. By using penalty approximation and compensated compactness, we prove that the dynamical equation in thin film has a local weak solution. Moreover, the corresponding linear equation is also dealt with in great detail.
引用
收藏
页码:421 / 432
页数:12
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