Homogenization of the demagnetization field operator in periodically perforated domains

DOI10.1016/j.jmaa.2007.01.001zbMath1156.78004OpenAlexW2000605079MaRDI QIDQ2371864

Kévin Santugini-Repiquet

Publication date: 9 July 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.001

zbMATH Keywords

homogenizationLandau-Lifshitz equationdemagnetization field operator

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Electro- and magnetostatics (78A30)

Related Items (4)

Junction of quasi-stationary ferromagnetic thin films ⋮ Quasi-stationary ferromagnetic problem for thin multi-structures ⋮ Homogenization of the Landau-Lifshitz-Gilbert equation in a contrasted composite medium ⋮ Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions

Cites Work

• Homogenization in open sets with holes
• Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
• Homogenization of ferromagnetic multilayers in the presence of surface energies
• Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. I
• Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. II
• Homogenization and Two-Scale Convergence
• On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
• Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?
• ON THE ZERO THICKNESS LIMIT OF THIN FERROMAGNETIC FILMS WITH SURFACE ANISOTROPY ENERGY
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