The Gilbert equation with dry-friction-type damping

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:355

Article

Roubicek, Tomas^1,2  Tomassetti, Giuseppe³  Zanini, Chiara⁴ 

[1] Charles Univ Prague, Math Inst, CZ-18675 Prague 8, Czech Republic

[2] ASCR, Inst Thermomech, CZ-18200 Prague 8, Czech Republic

[3] Univ Roma Tor Vergata, Dipartimento Ingn Civile, I-00133 Rome, Italy

[4] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy

关键词: Micromagnetics;    Rate-independent dissipation;    Variational inequalities;    Weak solutions;    Energetic solutions;   

DOI  :  10.1016/j.jmaa.2009.01.060

来源: Elsevier

【 摘 要 】

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. (c) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free