On a Nonlocal Damping Model in Ferromagnetism

M. Moumni; M. Tilioua

doi:10.1155/2015/317947

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Home > Journals > J. Appl. Math. > Volume 2015 > Article

2015 On a Nonlocal Damping Model in Ferromagnetism

M. Moumni, M. Tilioua

J. Appl. Math. 2015: 1-5 (2015). DOI: 10.1155/2015/317947

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Abstract

We consider a mathematical model describing nonlocal damping in magnetization dynamics. The model consists of a modified form of the Landau-Lifshitz-Gilbert (LLG) equation for the evolution of the magnetization vector in a rigid ferromagnet. We give a global existence result and characterize the long time behaviour of the obtained solutions. The sensitivity of the model with respect to large and small nonlocal damping parameters is also discussed.