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Please use this identifier to cite or link to this item:
http://hdl.handle.net/2108/623
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| 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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| ripgilbert.pdf | | 272Kb | Adobe PDF | View/Open |
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