FERROMAGNETS WITH EDDY CURRENTS AND PINNING EFFECTS: THEIR THERMODYNAMICS AND ANALYSIS

DOI10.1142/S0218202511004976zbMath1213.35179OpenAlexW2121158101MaRDI QIDQ3084654

Giuseppe Tomassetti, Tomáš Roubíček

Publication date: 25 March 2011

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202511004976

zbMATH Keywords

Gilbert equationdissipation due to eddy currentsdomain-wall pinning

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Thermodynamics of continua (80A17) Statistical mechanics of ferroelectrics (82D45) Variational principles of physics (49S05) General topics in optics and electromagnetic theory (78A99) Viscosity solutions to PDEs (35D40)

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Magnetic shape-memory alloys: thermomechanical modelling and analysis ⋮ Radiative effects for some bidimensional thermoelectric problems ⋮ Phase transformations in electrically conductive ferromagnetic shape-memory alloys, their thermodynamics and analysis ⋮ Thermodynamically consistent mesoscopic model of the ferro/paramagnetic transition ⋮ Thermomechanics of damageable materials under diffusion: modelling and analysis ⋮ Thermomechanics of hydrogen storage in metallic hydrides: modeling and analysis ⋮ Computational modeling of magnetic hysteresis with thermal effects ⋮ CONTINUUM THERMODYNAMICS AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ⋮ A nonlocal parabolic model for type‐I superconductors

Cites Work

• Finite element approximation of the Navier-Stokes equations
• Thermodynamics of shape-memory alloys under electric current
• The Gilbert equation with dry-friction-type damping
• Maxwell's equations with vector hysteresis
• On the effect of dissipation in shape-memory alloys
• On the dynamics of deformable ferromagnets. I: Global weak solutions for soft ferromagnets at rest
• Existence of solutions to a phase transition model with microscopic movements
• On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
• A MATHEMATICAL JUSTIFICATION OF THE LOW-FREQUENCY HETEROGENEOUS TIME-HARMONIC MAXWELL EQUATIONS
• On Landau-Lifshitz’ equations for ferromagnetism
• Existence of Partially Regular Solutions for Landau–Lifshitz Equations in ℝ³

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