Počet záznamů: 1

The Gilbert equation with dry-friction-type damping

  1. 1.
    0323011 - UT-L 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
    Grant CEP: GA MŠk(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