On a Nonlocal Damping Model in Ferromagnetism

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 lon...

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Bibliographic Details
Published in:Journal of Applied Mathematics 2015, Vol.2015 (2015), p.373-377-035
Main Authors: Moumni, M., Tilioua, Mouhcine
Format: Article
Language:English
Subjects:
Damping
Damping (Mechanics)
Dynamics
Evolution
Ferromagnetism
Magnetization
Mathematical analysis
Mathematical models
Vectors (mathematics)
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Summary: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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2015/317947