Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio
We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that in these models, under certain generic assumptions, the weak global attractor is represented by the set of all solitary...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2008 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148974 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio / A.I. Komech, A.A. Komech // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 58 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-148974 |
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Komech, A.I. Komech, A.A. 2019-02-19T12:19:34Z 2019-02-19T12:19:34Z 2008 Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio / A.I. Komech, A.A. Komech // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 58 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35B41; 37K40; 37L30; 37N20; 81Q05 https://nasplib.isofts.kiev.ua/handle/123456789/148974 We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that in these models, under certain generic assumptions, the weak global attractor is represented by the set of all solitary waves. In general, the attractors may also contain multifrequency solitary waves; we give examples of systems which contain such solutions. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio |
| spellingShingle |
Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio Komech, A.I. Komech, A.A. |
| title_short |
Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio |
| title_full |
Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio |
| title_fullStr |
Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio |
| title_full_unstemmed |
Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio |
| title_sort |
global attraction to solitary waves in models based on the klein-gordon equatio |
| author |
Komech, A.I. Komech, A.A. |
| author_facet |
Komech, A.I. Komech, A.A. |
| publishDate |
2008 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that in these models, under certain generic assumptions, the weak global attractor is represented by the set of all solitary waves. In general, the attractors may also contain multifrequency solitary waves; we give examples of systems which contain such solutions.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148974 |
| citation_txt |
Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio / A.I. Komech, A.A. Komech // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 58 назв. — англ. |
| work_keys_str_mv |
AT komechai globalattractiontosolitarywavesinmodelsbasedonthekleingordonequatio AT komechaa globalattractiontosolitarywavesinmodelsbasedonthekleingordonequatio |
| first_indexed |
2025-12-07T19:01:04Z |
| last_indexed |
2025-12-07T19:01:04Z |
| _version_ |
1850877216561299457 |