Homogenization of the Landau-Lifshitz-Gilbert equation in a contrasted composite medium

DOI10.3934/dcdss.2018003zbMath1375.35517OpenAlexW2762154895MaRDI QIDQ1680172

Mohammed Moumni, Catherine Choquet, Mouhcine Tilioua

Publication date: 22 November 2017

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2018003

zbMATH Keywords

homogenizationLandau-Lifshitz-Gilbert equationtwo-scale convergencedilation operatorcomposite ferromagnetic medium

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Statistical mechanics of magnetic materials (82D40)

Related Items (5)

Upscaling Errors in Heterogeneous Multiscale Methods for the Landau--Lifshitz Equation ⋮ 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 ⋮ A finite element based heterogeneous multiscale method for the Landau-Lifshitz equation ⋮ Heterogeneous multiscale methods for the Landau-Lifshitz equation

Cites Work

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• On Landau-Lifshitz equations of no-exchange energy models in ferromagnetics
• Global solutions to Maxwell equations in a ferromagnetic medium
• Periodic unfolding and homogenization
• Homogenization of a Ginzburg-Landau model for a nematic liquid crystal with inclusions
• Homogenization of the demagnetization field operator in periodically perforated domains
• Quasi-Stationary Limit and a Degenerate Landau-Lifshitz Equation of Ferromagnetism
• Towards a two-scale calculus
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Derivation of a Macroscopic Receptor-Based Model Using Homogenization Techniques
• Homogenization of the ginzburg—landau heat flow equation in a porous medium
• An extension theorem from connected sets, and homogenization in general periodic domains
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Convergence of the Homogenization Process for a Double-Porosity Model of Immiscible Two-Phase Flow
• ON THE ZERO THICKNESS LIMIT OF THIN FERROMAGNETIC FILMS WITH SURFACE ANISOTROPY ENERGY
• Derivation of the Double Porosity Model of a Compressible Miscible Displacement in Naturally Fractured Reservoirs
• Interlayer Exchange Coupling for Ferromagnets through Spacers
• Multiscale Methods
• LOCAL ENERGY ESTIMATES FOR THE MAXWELL–LANDAU–LIFSHITZ SYSTEM AND APPLICATIONS

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