Liouville type results for local minimizers of the micromagnetic energy

DOI10.1007/s00526-014-0757-2zbMath1325.35208OpenAlexW1992966373MaRDI QIDQ2349156

Benoît Merlet, Giovanni Di Fratta, François Alouges

Publication date: 19 June 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-014-0757-2

zbMATH Keywords

magnetic fieldlocal minimizermagnetic energyferromagnetics

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Energy minimization in equilibrium problems in solid mechanics (74G65) Statistical mechanics of magnetic materials (82D40) Variational principles of physics (49S05) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (4)

The mathematics of thin structures ⋮ On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces ⋮ On a Sharp Poincaré-Type Inequality on the 2-Sphere and its Application in Micromagnetics ⋮ Spin-diffusion model for micromagnetics in the limit of long times

Cites Work

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• p-harmonic obstacle problems. I: Partial regularity theory
• An optimal Poincaré inequality for convex domains
• The vortex core structure inside spherical ferromagnetic particles
• A regularity theory for harmonic maps
• Stable defects of minimizers of constrained variational principles
• The blow-up of \(p\)-harmonic maps
• A note on the Poincaré inequality for convex domains
• Regular solutions for Landau-Lifschitz equation in a bounded domain.
• Hysteresis and imperfection sensitivity in small ferromagnetic particles
• Partial regularity for stationary harmonic maps at a free boundary
• The problem of Plateau on a Riemannian manifold
• A note on configurational anisotropy
• Another Report on Harmonic Maps
• A Report on Harmonic Maps
• Singularities of harmonic maps
• Some Regularity Results In Ferromagnetism
• Magnetization switching on small ferromagnetic ellipsoidal samples
• Energetics and switching of quasi-uniform states in small ferromagnetic particles
• Harmonic maps

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