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.
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: 20 Nov 2017 *