# American Institute of Mathematical Sciences

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

 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.
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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