Decay rate and energy gap for the singularity solution of the inhomogeneous Landau-Lifshitz equation on \(\mathbb{S}^2\)
type: Item
instance of: scholarly article
title: Decay rate and energy gap for the singularity solution of the inhomogeneous Landau-Lifshitz equation on \(\mathbb{S}^2\)
zbMATH Open document ID: 1404.35059
DOI: 10.1155/2018/5370349
author: Penghong Zhong
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: The singularity solution for the inhomogeneous Landau-Lifshitz (ILL) equation without damping term in \(n\)-dimensional space was investigated. The implicit singularity solution was obtained for the case where the target space is on \(\mathbb{S}^2\). This solution can be classified into four types that cover the global and local solutions. An estimation of the energy density of one of these types indicates its exact decay rate, which allows a global solution with finite initial energy under \(n > 3\). Analysis of the four aperiodic solutions indicates that energy gaps that are first contributions to the literature of ILL will occur for particular coefficient settings, and these are shown graphically.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 6991980
zbMATH Keywords: exact decay rate
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5370349
OpenAlex ID: W2885541805
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description: scientific article; zbMATH DE number 6991980