A modified Gilbert equation for micromagnetics is considered, obtained by augment- ing the standard viscous-like dissipation with a rate-independent term. We prove existence of a weak solution both with and without viscous dissipation. By scaling time we show that, if the applied field varies very slowly, then gyromagnetic effects and viscous dissipation become negligible. In the infinitesimally-slow-loading limit, the system thus becomes fully rate-independent.

The Gilbert equation with dry-friction-type damping / Roubicek, T.; Tomassetti, G.; Zanini, Chiara. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 355:(2009), pp. 453-468. [10.1016/j.jmaa.2009.01.060]

The Gilbert equation with dry-friction-type damping

ZANINI, CHIARA
2009

Abstract

A modified Gilbert equation for micromagnetics is considered, obtained by augment- ing the standard viscous-like dissipation with a rate-independent term. We prove existence of a weak solution both with and without viscous dissipation. By scaling time we show that, if the applied field varies very slowly, then gyromagnetic effects and viscous dissipation become negligible. In the infinitesimally-slow-loading limit, the system thus becomes fully rate-independent.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2460904
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