An extension result for the Landau-Lifshitz equation with Neumann boundary condition

DOI10.1007/s11766-012-2691-4zbMath1265.35042OpenAlexW2067631785MaRDI QIDQ1931132

Tailong Li, Na Li

Publication date: 24 January 2013

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-012-2691-4

zbMATH Keywords

Neumann boundary conditionanisotropyLandau-Lifshitz equationpartially regular solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35)

Cites Work

• Initial-boundary value problems for anisotropic Landau-Lifshitz equations in three or four space dimensions
• Generalizing the notion of Koszul algebra.
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• Partial regularity for stationary harmonic maps into spheres
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• Partial regularity for the Landau-Lifshitz system
• Uniqueness and bubbling of the 2-dimensional Landau-Lifshitz flow
• Solutions to the Landau-Lifshitz system with nonhomogeneous Neumann boundary conditions arising from surface anisotropy and super-exchange interactions in a ferromagnetic media
• Some stationary weak solutions to inhomogeneous Landau-Lifshitz equations in three dimensions
• On the Landau-Lifshitz equation in dimensions at most four
• On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
• Partial regularity for harmonic maps of evolution into spheres
• Bubbling of Approximations for the 2-D Landau-Lifshitz Flow
• Existence of Partially Regular Solutions for Landau–Lifshitz Equations in ℝ³
• Neumann problem for the Landau-Lifshitz-Maxwell system in two dimensions
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