Stochastic homogenization of the Landau-Lifshitz-Gilbert equation

DOI10.1007/s40072-020-00185-4zbMath1481.35030arXiv1902.05743OpenAlexW3120881572WikidataQ114219584 ScholiaQ114219584MaRDI QIDQ2068917

François Alouges, Benoît Merlet, Léa Nicolas, Anne de Bouard

Publication date: 20 January 2022

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.05743

zbMATH Keywords

homogenizationharmonic mapsLandau-Lifshitz equationsmicromagnetics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Statistical mechanics of magnetic materials (82D40)

Related Items (6)

Upscaling Errors in Heterogeneous Multiscale Methods for the Landau--Lifshitz Equation ⋮ Homogenization of chiral magnetic materials: a mathematical evidence of Dzyaloshinskii's predictions on helical structures ⋮ On the Multiscale Landau–Lifshitz–Gilbert Equation: Two-Scale Convergence and Stability Analysis ⋮ The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics ⋮ Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions ⋮ Heterogeneous multiscale methods for the Landau-Lifshitz equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework
• Stochastic homogenization of rate-independent systems and applications
• The weak solutions to the evolution problems of harmonic maps
• Stochastic homogenization of \(\Lambda\)-convex gradient flows
• On a nonlocal damping model in ferromagnetism
• Homogenization of ferromagnetic multilayers in the presence of surface energies
• Homogenization and Two-Scale Convergence
• On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• On Landau-Lifshitz’ equations for ferromagnetism
• Homogenization of biomechanical models of plant tissues with randomly distributed cells
• Homogenization of composite ferromagnetic materials
• Quantitative Stochastic Homogenization and Large-Scale Regularity
• Harmonic maps
• Quenched invariance principles for random walks on percolation clusters
• Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization

This page was built for publication: Stochastic homogenization of the Landau-Lifshitz-Gilbert equation