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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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2008 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148974 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148974 |
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dspace |
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irk-123456789-1489742019-02-20T01:25:35Z Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio Komech, A.I. Komech, A.A. 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. 2008 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148974 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Komech, A.I. Komech, A.A. |
| spellingShingle |
Komech, A.I. Komech, A.A. Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Komech, A.I. Komech, A.A. |
| author_sort |
Komech, A.I. |
| title |
Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT komechai globalattractiontosolitarywavesinmodelsbasedonthekleingordonequatio AT komechaa globalattractiontosolitarywavesinmodelsbasedonthekleingordonequatio |
| first_indexed |
2023-05-20T17:31:55Z |
| last_indexed |
2023-05-20T17:31:55Z |
| _version_ |
1796153511546716160 |