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.

Roubicek, T., Zanini, C., Tomassetti, G. (2008). The Gilbert equation with dry-friction-type damping.

The Gilbert equation with dry-friction-type damping

TOMASSETTI, GIUSEPPE
2008-09-07

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.
7-set-2008
en
micromagnetics
rate-independent dissipation
variational inequalities
weak solutions
energetic solutions
Roubicek, T., Zanini, C., Tomassetti, G. (2008). The Gilbert equation with dry-friction-type damping.
Roubicek, T; Zanini, C; Tomassetti, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/623
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