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Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau-Lifshitz Equation on S2
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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 S2.
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.
American Psychological Association (APA)
Zhong, Penghong. 2018. Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau-Lifshitz Equation on S2. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1119186
Modern Language Association (MLA)
Zhong, Penghong. Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau-Lifshitz Equation on S2. Advances in Mathematical Physics No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1119186
American Medical Association (AMA)
Zhong, Penghong. Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau-Lifshitz Equation on S2. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1119186
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119186