On magnetization dynamics with inertial effects

We consider a mathematical model describing magnetization dynamics with inertial effects. The model consists of a modified form of the Landau–Lifshitz–Gilbert equation for the evolution of the magnetization vector in a rigid ferromagnet. We discuss global existence of weak solutions and characterize...

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Bibliographic Details
Published in:Journal of engineering mathematics 2014-10, Vol.88 (1), p.197-206
Main Authors: Hadda, M., Tilioua, M.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Mathematical and Computational Engineering
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Theoretical and Applied Mechanics
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Summary:We consider a mathematical model describing magnetization dynamics with inertial effects. The model consists of a modified form of the Landau–Lifshitz–Gilbert equation for the evolution of the magnetization vector in a rigid ferromagnet. We discuss global existence of weak solutions and characterize the ω -limit set for the model.
ISSN:0022-0833
1573-2703
DOI:10.1007/s10665-014-9691-8