Existence of weak solutions is proved for a system of nonlinear parabolic equations/inequalities describing evolution of magnetization, temperature, magnetic field, and electric field in electrically-conductive unsaturated ferromagnets. The system is derived from a recently-proposed thermodynamically-consistent continuum theory for the ferro/paramagnetic transition. Besides the standard viscous-like damping, dissipation due to eddy currents and domain-wall pinning is considered.
Roubicek, T., Tomassetti, G. (2011). Ferromagnets with eddy current and pinning effects: their thermodynamics and analysis. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 21(1), 29-55 [10.1142/S0218202511004976].
Ferromagnets with eddy current and pinning effects: their thermodynamics and analysis
TOMASSETTI, GIUSEPPE
2011-01-01
Abstract
Existence of weak solutions is proved for a system of nonlinear parabolic equations/inequalities describing evolution of magnetization, temperature, magnetic field, and electric field in electrically-conductive unsaturated ferromagnets. The system is derived from a recently-proposed thermodynamically-consistent continuum theory for the ferro/paramagnetic transition. Besides the standard viscous-like damping, dissipation due to eddy currents and domain-wall pinning is considered.| File | Dimensione | Formato | |
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