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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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contributor.authorRoubicek, Tomas-
contributor.authorTomassetti, Giuseppe-
contributor.authorZanini, Chiara-
description.abstractA 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.en
description.sponsorshipThis research has been facilitated by the European project MRTN-CT-2004-505226 ``Multi-scale modelling and characterisation for phase transformations in advanced materials''. The work was also created as a research activity of ``Necas center for mathematical modeling'' LC06052 (MSMT CR), partly supported also by the grants A 107 5402 (GA AV CR), and MSM21620839 and 1M06031 (MSMT CR), 201/06/0352 (GA CR), and from the research plan AV0Z20760514 (CR).en
format.extent279034 bytes-
subjectrate-independent dissipationen
subjectvariational inequalitiesen
subjectweak solutionsen
subjectenergetic solutionsen
titleThe Gilbert equation with dry-friction-type dampingen
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