Počet záznamů: 1
The Gilbert equation with dry-friction-type damping
- 1.0323011 - ÚT 2010 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA MŠMT(CZ) 1M06031
Výzkumný záměr: CEZ:AV0Z20760514
Klíčová slova: micromagnetics * rate-independent processes * variational inequalities
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.225, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0171099
Počet záznamů: 1