ON THE ZERO THICKNESS LIMIT OF THIN FERROMAGNETIC FILMS WITH SURFACE ANISOTROPY ENERGY

DOI10.1142/S0218202501001422zbMath1012.82032OpenAlexW2142853269WikidataQ128028591 ScholiaQ128028591MaRDI QIDQ4798920

Mouhcine Tilioua, Kamel Hamdache

Publication date: 16 March 2003

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

Full work available at URL: https://doi.org/10.1142/s0218202501001422

zbMATH Keywords

thin ferromagnetic filmssurface anisotropy energy

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of magnetic materials (82D40)

Related Items (11)

Homogenization of the demagnetization field operator in periodically perforated domains ⋮ Junction of quasi-stationary ferromagnetic thin films ⋮ Unnamed Item ⋮ Quasi-stationary ferromagnetic problem for thin multi-structures ⋮ Junction of quasi-stationary ferromagnetic wires ⋮ Homogenization of the Landau-Lifshitz-Gilbert equation in a contrasted composite medium ⋮ Homogenization results for a Landau–Lifshitz–Gilbert equation in composite materials with transmission defects ⋮ On the Multiscale Landau–Lifshitz–Gilbert Equation: Two-Scale Convergence and Stability Analysis ⋮ On magnetization dynamics with inertial effects ⋮ Solutions to the Landau-Lifshitz system with nonhomogeneous Neumann boundary conditions arising from surface anisotropy and super-exchange interactions in a ferromagnetic media ⋮ On a nonlocal damping model in ferromagnetism

Cites Work

• Time average in micromagnetism
• Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy
• The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps
• Singular perturbations as a selection criterion for periodic minimizing sequences
• Beyond Young measures
• A new model for thin plates with rapidly varying thickness. II. A convergence proof
• A new model for thin plates with rapidly varying thickness. III. Comparison of different scalings
• Mathematical and numerical studies of non linear ferromagnetic materials
• On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
• On Landau-Lifshitz’ equations for ferromagnetism

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