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On magnetization dynamics with inertial effects

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Abstract

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 \(\omega \)-limit set for the model.

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Acknowledgments

We thank referees for their thoughtful and insightful comments. The research is supported by the PHC Volubilis program MA/14/301 “Elaboration et analyse de modèles asymptotiques en micro-magnétisme, magnéto-élasticité et électro-élasticité” with joint financial support from the French Ministry of Foreign Affairs and the Moroccan Ministry of Higher Education and Scientific Research.

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Authors and Affiliations

  1. EST Meknès, P.O. Box 3103, 50000 , Meknès, Morocco

    M. Hadda

  2. FST Errachidia, MAMCS Group, P.O. Box 509, Boutalamine, 52000 , Errachidia, Morocco

    M. Hadda & M. Tilioua

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  1. M. Hadda
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  2. M. Tilioua
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Correspondence to M. Tilioua.

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Hadda, M., Tilioua, M. On magnetization dynamics with inertial effects. J Eng Math 88, 197–206 (2014). https://doi.org/10.1007/s10665-014-9691-8

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  • DOI: https://doi.org/10.1007/s10665-014-9691-8

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