Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік
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dc.contributor.author	Komech, A.I.
dc.contributor.author	Komech, A.A.
dc.date.accessioned	2019-02-19T12:19:34Z
dc.date.available	2019-02-19T12:19:34Z
dc.date.issued	2008
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 35B41; 37K40; 37L30; 37N20; 81Q05
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148974
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equatio	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA