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The Gilbert equation with dry-friction-type damping
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SYSNO ASEP 0323011 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The Gilbert equation with dry-friction-type damping Author(s) Roubíček, Tomáš (UT-L) RID, ORCID
Tomassetti, G. (IT)
Zanini, Ch. (IT)Number of authors 3 Source Title Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X
Roč. 355, č. 2 (2009), s. 453-468Number of pages 16 s. Language eng - English Country US - United States Keywords micromagnetics ; rate-independent processes ; variational inequalities Subject RIV BA - General Mathematics R&D Projects 1M06031 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z20760514 - UT-L (2005-2011) UT WOS 000265982800001 DOI 10.1016/j.jmaa.2009.01.060 Annotation 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. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2010
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