Thin-Film Limits for Landau–Lifshitz–Gilbert Equations

DOI10.1137/090762646zbMath1209.35136OpenAlexW2050524481MaRDI QIDQ3078591

Christof Melcher

Publication date: 28 February 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090762646

zbMATH Keywords

Landau-Lifshitz equationsmicromagneticsdissipative wave maps

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)

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Landau-Lifshitz-Gilbert equation with symmetric coefficients of the dissipative function ⋮ Global weak solutions for the Landau-Lifshitz-Gilbert-Vlasov-Maxwell system coupled via emergent electromagnetic fields ⋮ Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction ⋮ Pattern formation in axially symmetric Landau-Lifshitz-Gilbert-Slonczewski equations ⋮ On well-posedness of an evolutionary model for magnetoelasticity: hydrodynamics of viscoelasticity and Landau-Lifshitz-Gilbert systems ⋮ The Landau-Lifshitz-Bloch equation in the thin film ⋮ Curved thin-film limits of chiral Dirichlet energies ⋮ Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity ⋮ Propagating two-dimensional magnetic droplets ⋮ A thin-film limit in the Landau-Lifshitz-Gilbert equation relevant for the formation of Néel walls ⋮ On the field-induced transport of magnetic nanoparticles in incompressible flow: Modeling and numerics

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