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Relaxed model for the hysteresis in micromagnetism.
Proc. R. Soc. Edinburgh, Sect. A 139, Part 4, 759-773 (2009)
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
Sprache
Veröffentlichungsjahr
2009
HGF-Berichtsjahr
2009
ISSN (print) / ISBN
0308-2105
e-ISSN
1473-7124
Quellenangaben
Band: 139,
Heft: 4,
Seiten: 759-773,
Supplement: Part 4
Verlag
Cambridge Univ. Press
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Biomathematics and Biometry (IBB)
PSP-Element(e)
G-503800-002
Scopus ID
70149102025
Erfassungsdatum
2009-12-31