Relaxed model for the hysteresis in micromagnetism
Langue
en
Article de revue
Ce document a été publié dans
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics. 2008p. à paraître
Royal Society of Edinburgh
Résumé en anglais
In this paper we study a model of ferromagnetic material with hysteresis effects. The magnetic moment behaviour is described by the non-linear Landau-Lifschitz equation with an additional term modelling the hysteresis. ...Lire la suite >
In this paper we study a model of ferromagnetic material with hysteresis effects. The magnetic moment behaviour is described by the non-linear Landau-Lifschitz equation with an additional term modelling the hysteresis. This term takes the form of a maximal monotone operator acting on the time derivative of the magnetic moment. In our model, it is approximated via a relaxing heat equation. For this relaxed model we prove local existence of regular solutions.< Réduire
Origine
Importé de halUnités de recherche