Partially regular solution to Landau-Lifshitz-Maxwell equations in two dimensions

DOI10.1016/j.jmaa.2008.10.010zbMath1162.35073OpenAlexW2007784610MaRDI QIDQ2518296

Junyu Lin, Shijin Ding

Publication date: 15 January 2009

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.2008.10.010

zbMATH Keywords

singularitiesMaxwell equationsexistence and uniquenessLandau-Lifshitz equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25) Propagation of singularities; initial value problems on manifolds (58J47)

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Decay rate and energy gap for the singularity solution of the inhomogeneous Landau-Lifshitz equation on \(\mathbb{S}^2\), Wong-Zakai approximation for the stochastic Landau-Lifshitz-Gilbert equations, Robin boundary value problem for one-dimensional Landau-Lifshitz equations, Partial regular solution to the Landau–Lifshitz–Maxwell system with spin accumulation in two dimensions, Blow-up solutions to Landau-Lifshitz-Maxwell systems, A lattice Boltzmann model for Maxwell's equations, Simulations of the rectangular wave-guide pattern in the complex Maxwell vorticity equations by lattice Boltzmann method, Analysis of a coupled spin drift-diffusion Maxwell-Landau-Lifshitz system, The partial regularity for Landau-Lifshitz-Maxwell-spin diffusion system in three dimensions

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