On the local well-posedness for the fractional Landau-Lifshitz-Gilbert equation

DOI10.1016/j.camwa.2012.01.064zbMath1268.35126OpenAlexW2091110489MaRDI QIDQ356328

Xue-ke Pu

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.01.064

zbMATH Keywords

local well-posednessfractional LaplacianGilbert equationLandauLifshitz

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Statistical mechanics of magnetic materials (82D40) Fractional partial differential equations (35R11)

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Cites Work

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• The fractional Landau-Lifshitz-Gilbert equation and the heat flow of harmonic maps
• Solutions for the fractional Landau-Lifshitz equation
• The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps
• Commutator estimates and the euler and navier-stokes equations
• A reduced theory for thin-film micromagnetics