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Carbou, G.* ; Efendiyev, M.A. ; Fabrie, P.*

Relaxed model for the hysteresis in micromagnetism.

Proc. R. Soc. Edinburgh, Sect. A 139, Part 4, 759-773 (2009)
DOI
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
We study a model of ferromagnetic material with hysteresis effects. The magnetic moment behaviour is described by the nonlinear Landau-Lifshitz 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.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter no keywords
ISSN (print) / ISBN 0308-2105
e-ISSN 1473-7124
Zeitschrift Proceedings of the Royal Society of Edinburgh, Section A: Mathematics
Quellenangaben Band: 139, Heft: 4, Seiten: 759-773, Artikelnummer: , Supplement: Part 4
Verlag Cambridge Univ. Press
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biomathematics and Biometry (IBB)