Title: On a non-scalar damping model in micromagnetism

Authors: C. Ayouch; El-H. Essoufi; M. Tilioua

Addresses: Laboratoire MISI, FST Settat, University Hassan I, 26000 Settat, Morocco ' Laboratoire MISI, FST Settat, University Hassan I, 26000 Settat, Morocco ' M2I Laboratory, MAMCS Group, FST Errachidia, University Moulay Ismaïl, P.O. Box 509, Boutalamine, 52000 Errachidia, Morocco

Abstract: We consider a mathematical model describing magnetisation dynamics with non-scalar damping. The model consists on a generalised Landau-Lifshitz-Gilbert equation with a general damping tensor. We apply Faedo-Galerkin/penalty method to show the existence of global weak solutions in one-dimensional case.

Keywords: Faedo-Galerkin method; ferromagnetic materials; global existence; LLG equation.

DOI: 10.1504/IJDSDE.2018.089091

International Journal of Dynamical Systems and Differential Equations, 2018 Vol.8 No.1/2, pp.6 - 18

Received: 26 Oct 2016
Accepted: 09 Feb 2017
Published online: 05 Jan 2018 *

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