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Please use this identifier to cite or link to this item: http://hdl.handle.net/2108/623

Title: The Gilbert equation with dry-friction-type damping
Authors: Roubicek, Tomas
Tomassetti, Giuseppe
Zanini, Chiara
Keywords: micromagnetics
rate-independent dissipation
variational inequalities
weak solutions
energetic solutions
Issue Date: 7-Sep-2008
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.
URI: http://hdl.handle.net/2108/623
Appears in Collections:Research studies

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