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

Jian Zhai; Zhihui Cai

doi:10.3934/dcdsb.2009.11.1071

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2009, Volume 11, Issue 4: 1071-1085. Doi: 10.3934/dcdsb.2009.11.1071

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$\Gamma$-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

Received: April 30, 2008

Revised: September 30, 2008

Published: October 2009

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B40; Secondary: 74G65, 82D40, 35B25.

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