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An Extension Landau-Lifshitz Model in Studying Soft Ferromagnetic Films

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, China

    Jing-na Li, Xiao-feng Wang & Zheng-an Yao

Authors
  1. Jing-na Li
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  2. Xiao-feng Wang
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  3. Zheng-an Yao
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Corresponding author

Correspondence to Jing-na Li.

Additional information

Supported by the National Natural Science Foundation of China (No. 10171113, 10471156) (Tianyuan Foundation 10526040) and Guangdong Provincial Natural Science Foundation (No. 4009793).

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Li, Jn., Wang, Xf. & Yao, Za. An Extension Landau-Lifshitz Model in Studying Soft Ferromagnetic Films. Acta Mathematicae Applicatae Sinica, English Series 23, 421–432 (2007). https://doi.org/10.1007/s10255-007-0382-3

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  • DOI: https://doi.org/10.1007/s10255-007-0382-3

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