A modified Gilbert equation for micromagnetics is considered, obtained by augmenting 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.
Roubíček, T., Tomassetti, G., Zanini, C. (2009). The Gilbert equation with dry-friction-type damping☆. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 355(2), 453-468 [10.1016/j.jmaa.2009.01.060].
The Gilbert equation with dry-friction-type damping☆
TOMASSETTI, GIUSEPPE;
2009-01-01
Abstract
A modified Gilbert equation for micromagnetics is considered, obtained by augmenting 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
