Partial regularity for two dimensional Landau-Lifshitz equations

DOI10.1007/BF02580447zbMath0906.35025MaRDI QIDQ4209719

Yunmei Chen, Shijin Ding, Bo-ling Guo

Publication date: 11 January 1999

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

Hodge decompositioninitial value problemexistence and uniqueness of a weak solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Existence of Regular Solutions of the Landau--Lifshitz--Gilbert Equation in 3D with Natural Boundary Conditions, Smooth solutions for a stochastic hydrodynamical equation in Heisenberg paramagnet, Existence of partially regular weak solutions to Landau-Lifshitz-Maxwell equations, A Landau-Lifshitz-type equation in studying thin film micromagnetics, Heat flow for the square root of the negative Laplacian for unit length vectors, An extension Landau-Lifshitz model in studying soft ferromagnetic films, Initial-boundary value problem for higher dimensional landau–lifshitz systems, Hausdorff measure of the singular set of Landau-Lifshitz equations with a nonlocal term, Symplectic flow for the square root of the negative Laplacian, Existence and Hölder regularity of the fractional Landau-Lifshitz equation without Gilbert damping term, Field-driven magnetization reversal in a three-dimensional network of ferromagnetic ellipsoidal samples, Regularity criterion to some liquid crystal models and the Landau-Lifshitz equations in \(\mathbb R^{3}\)

Cites Work

• Existence and uniqueness of smooth solution for system of ferromagnetic chain
• The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps
• Uniqueness for the harmonic map flow in two dimensions
• Quasiregular mappings in even dimensions
• An existence theorem for surfaces of constant mean curvature
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