Wave map with potential and hypersurface flow

Jian Zhai; Jianping Fang; Lanjun Li

doi:10.3934/proc.2005.2005.940

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2005, Volume 2005: 940-946. Doi: 10.3934/proc.2005.2005.940 open access

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Wave map with potential and hypersurface flow

1.
Department of Mathematics, Zhejiang University, Hangzhou 310027

Received: August 31, 2004

Revised: April 30, 2005

Published: August 2005

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Abstract

The simplified equation of the dynamics of weak ferromagnets magnetization is related to wave maps with potential. The global existence and behavior of solutions as parameter $\epsilon\to 0$ are obtained.

Keywords:

wave maps with potential; Hamilton-Jacobi equation; weak ferromagnets.

Mathematics Subject Classification: Primary: 35L70,35Q60,35F20,78A25.

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