Global existence of Landau-Lifshitz-Gilbert equation and self-similar blowup of harmonic map heat flow on \(\mathbb{S}^2\)

DOI10.1016/j.matcom.2020.02.002zbMath1456.35067OpenAlexW3007281519MaRDI QIDQ2221540

Penghong Zhong, Xuan Ma, Gan-shan Yang

Publication date: 2 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2020.02.002

zbMATH Keywords

harmonic map heat flowsmall Cauchy datafinite time gradient-blowup

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06)

Related Items (2)

Renormalization for the Laplacian and global well-possness of the Landau-Lifshitz-Gilbert equation in dimensions \(n \geq 3\) ⋮ Convergence of numerical solution for the inhomogeneous Landau‐Lifshitz equations with Gilbert damping

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