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The Gilbert equation with dry-friction-type damping
- 1.0323011 - ÚT 2010 RIV US eng J - Journal Article
Roubíček, Tomáš - Tomassetti, G. - Zanini, Ch.
The Gilbert equation with dry-friction-type damping.
Journal of Mathematical Analysis and Applications. Roč. 355, č. 2 (2009), s. 453-468. ISSN 0022-247X. E-ISSN 1096-0813
R&D Projects: GA MŠMT(CZ) 1M06031
Institutional research plan: CEZ:AV0Z20760514
Keywords : micromagnetics * rate-independent processes * variational inequalities
Subject RIV: BA - General Mathematics
Impact factor: 1.225, year: 2009
http://dx.doi.org/10.1016/j.jmaa.2009.01.060
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.
Permanent Link: http://hdl.handle.net/11104/0171099
Number of the records: 1