Bubbling of Approximations for the 2-D Landau-Lifshitz Flow

DOI10.1080/03605300500361644zbMath1097.35007OpenAlexW2048460865MaRDI QIDQ5291761

Paul Harpes

Publication date: 22 May 2006

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300500361644

zbMATH Keywords

energy concentrationharmonic map flowdefect measureepsilon-regularityGinzburg-Landau flowenergy concentration points

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (5)

Renormalization for the Laplacian and global well-possness of the Landau-Lifshitz-Gilbert equation in dimensions \(n \geq 3\) ⋮ An extension result for the Landau-Lifshitz equation with Neumann boundary condition ⋮ On the existence of global‐in‐time weak solutions and scaling laws for Kolmogorov's two‐equation model for turbulence ⋮ Global well-posedness of the Landau-Lifshitz-Gilbert equation for initial data in Morrey spaces ⋮ Global-in-time existence of weak solutions to Kolmogorov's two-equation model of turbulence

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