EXPONENTIAL ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE SYSTEM

Messoud, Efendiev; Yamamoto, Yoshitaka; Yagi, Atsushi

doi:https://doi.org/10.2969/jmsj/06320647

アクセス数:190件（2024-04-20 05:05 集計）

固定URL: https://hdl.handle.net/11094/24753

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タイトル	EXPONENTIAL ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE SYSTEM
著者	著者名 Messoud, Efendiev
	NRID 1000030259915 1000030259915 著者名 Yamamoto, Yoshitaka
	NRID 1000070116119 1000070116119 著者名 Yagi, Atsushi
キーワード等	exponential attractors
	non-autonomous dynamical system
	chemotaxis model
抄録	In this paper we will introduce a version of exponential attractor for non-autonomous equations as a time dependent set with uniformly bounded finite fractal dimension which is positively invariant and attracts every bounded set at an exponential rate. This is a natural generalization of the existent notion for autonomous equations. A generation theorem will be proved under the assumption that the evolution operator is a compact perturbation of a contraction. In the second half of the paper, these results will be applied to some non-autonomous chemotaxis system.
出版者	The Mathematical Society of Japan
収録物名	Journal of the Mathematical Society of Japan
巻(号)	63(2)
ページ	647-673
刊行年月	2011
言語	英語
ハンドルURL	https://hdl.handle.net/11094/24753
PISSN	00255645
NCID	AA0070177X
関連情報 (isVersionOf)	DOI (出版社版) https://doi.org/10.2969/jmsj/06320647
アクセス権	open access
権利情報	©2011 The Mathematical Society of Japan
出版タイプ	Accepted Manuscript
カテゴリ	学術雑誌論文 Journal Article

資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Journal of the Mathematical Society of Japan. 2011, 63(2), p. 647-673
DC.title	EXPONENTIAL ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE SYSTEM
DC.creator	Messoud, Efendiev
	Yamamoto, Yoshitaka
	Yagi, Atsushi
DC.publisher	The Mathematical Society of Japan
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2011
DC.identifier	https://doi.org/10.2969/jmsj/06320647
DC.subject	exponential attractors
	non-autonomous dynamical system
	chemotaxis model
DCTERMS.abstract	In this paper we will introduce a version of exponential attractor for non-autonomous equations as a time dependent set with uniformly bounded finite fractal dimension which is positively invariant and attracts every bounded set at an exponential rate. This is a natural generalization of the existent notion for autonomous equations. A generation theorem will be proved under the assumption that the evolution operator is a compact perturbation of a contraction. In the second half of the paper, these results will be applied to some non-autonomous chemotaxis system.
DC.rights	©2011 The Mathematical Society of Japan
DC.format	application/pdf
citation_title	EXPONENTIAL ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE SYSTEM
citation_author	Messoud, Efendiev
	Yamamoto, Yoshitaka
	Yagi, Atsushi
citation_publisher	The Mathematical Society of Japan
citation_language	英語
citation_date	2011
citation_journal_title	Journal of the Mathematical Society of Japan
citation_volume	63
citation_issue	2
citation_firstpage	647
citation_lastpage	673
citation_doi	https://doi.org/10.2969/jmsj/06320647
citation_public_url	https://hdl.handle.net/11094/24753

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