Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau-Lifshitz Equation on S2
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 glob...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/5370349 |
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| author | Penghong Zhong |
| author_facet | Penghong Zhong |
| author_sort | Penghong Zhong |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0ebf4bedaeda45e28cd65fc1a8f573ea |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
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| series | Advances in Mathematical Physics |
| spelling | doaj-art-0ebf4bedaeda45e28cd65fc1a8f573ea2025-08-20T03:54:24ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/53703495370349Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau-Lifshitz Equation on S2Penghong Zhong0Department of Mathematics, Guangdong University of Education, Guangzhou 510640, ChinaThe 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.http://dx.doi.org/10.1155/2018/5370349 |
| spellingShingle | Penghong Zhong Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau-Lifshitz Equation on S2 Advances in Mathematical Physics |
| title | Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau-Lifshitz Equation on S2 |
| title_full | Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau-Lifshitz Equation on S2 |
| title_fullStr | Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau-Lifshitz Equation on S2 |
| title_full_unstemmed | Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau-Lifshitz Equation on S2 |
| title_short | Decay Rate and Energy Gap for the Singularity Solution of the Inhomogeneous Landau-Lifshitz Equation on S2 |
| title_sort | decay rate and energy gap for the singularity solution of the inhomogeneous landau lifshitz equation on s2 |
| url | http://dx.doi.org/10.1155/2018/5370349 |
| work_keys_str_mv | AT penghongzhong decayrateandenergygapforthesingularitysolutionoftheinhomogeneouslandaulifshitzequationons2 |