Microstructure evolution model in micromagnetics

DOI10.1007/s00033-003-0110-7zbMath1059.82047OpenAlexW2063610029MaRDI QIDQ1880232

Tomáš Roubíček, Martin Kružík

Publication date: 22 September 2004

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-003-0110-7

zbMATH Keywords

hysteresisrate-independent dissipationmaximum dissipation principlemagnetic microstructuremesoscopic-level modelminimization of Gibbs' magnetic energy

Mathematics Subject Classification ID

Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) PDEs in connection with optics and electromagnetic theory (35Q60) Electro- and magnetostatics (78A30) Statistical mechanics of magnetic materials (82D40) Variational principles of physics (49S05) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (10)

Thermodynamically consistent mesoscopic model of the ferro/paramagnetic transition ⋮ Stabilization methods in relaxed micromagnetism ⋮ Computational modeling of magnetic hysteresis with thermal effects ⋮ Maxwell's equations with vector hysteresis ⋮ Quasistatic normal-compliance contact problem of visco-elastic bodies with Coulomb friction implemented by QP and SGBEM ⋮ Rate-independent processes in viscous solids at small strains ⋮ Numerical approaches to rate-independent processes and applications in inelasticity ⋮ Deriving new evolution equations for microstructures via relaxation of variational incremental problems ⋮ Quasistatic evolution of magnetoelastic plates via dimension reduction ⋮ Existence results for incompressible magnetoelasticity

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