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June  2009, 11(4): 1071-1085. doi: 10.3934/dcdsb.2009.11.1071

$\Gamma$-convergence with Dirichlet boundary condition and Landau-Lifshitz functional for thin film

Jian Zhai 1, and  Zhihui Cai 1,

1. 

Department of Mathematics, Zhejiang University, Hangzhou, 310027, China, China

Received  May 2008 Revised  October 2008 Published  April 2009

In this paper, we consider the $\Gamma$-convergence of Landau-Lifshitz ferromagnetic model in the presence of Bloch wall in the disk of $\bb R^2$ with Dirichlet boundary condition.
Keywords: Landau-Lifshitz ferromagnetic model, Dirichlet boundary condition., $\Gamma$-convergence, Bloch wall.
Mathematics Subject Classification: Primary: 35B40; Secondary: 74G65, 82D40, 35B2.
Citation: Jian Zhai, Zhihui Cai. $\Gamma$-convergence with Dirichlet boundary condition and Landau-Lifshitz functional for thin film. Discrete & Continuous Dynamical Systems - B, 2009, 11 (4) : 1071-1085. doi: 10.3934/dcdsb.2009.11.1071
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