MAMCS Group

Errachidia, Morocco

MAMCS Group

Errachidia, Morocco
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Hadda M.,EST Meknes | Hadda M.,MAMCS Group | Tilioua M.,MAMCS Group
Journal of Engineering Mathematics | Year: 2014

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. © 2014, Springer Science+Business Media Dordrecht.


Moumni M.,University of La Rochelle | Moumni M.,MAMCS Group | Tilioua M.,MAMCS Group
Journal of Engineering Mathematics | Year: 2015

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. The modification lies in the presence of an acceleration term describing inertia. A semi-implicit finite-difference scheme for the model is proposed, and a criterion of numerical stability is given. Some numerical experiments are conducted to show the performance of the scheme. © 2015 Springer Science+Business Media Dordrecht


Hadda M.,MAMCS Group | Tilioua M.,MAMCS Group
Mathematical Problems in Engineering | Year: 2012

This paper deals with classical dimensional reductions 3D-2D and 3D-1D in magnetoelastic interactions. We adopt a model described by the Landau-Lifshitz-Gilbert equation for the magnetization field coupled to an evolution equation for the displacement. We identify the limit problem both for flat and slender media by using the so-called energy method. © 2012 Mohammed Hadda and Mouhcine Tilioua.

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