EXPONENTIAL ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE SYSTEM

Messoud, Efendiev; Yamamoto, Yoshitaka; Yagi, Atsushi

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タイトル	EXPONENTIAL ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE SYSTEM
著者	Messoud, Efendiev Messoud, Efendiev
	Yamamoto, Yoshitaka Yamamoto, Yoshitaka
	Yagi, Atsushi 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.
公開者	The Mathematical Society of Japan
掲載誌名	Journal of the Mathematical Society of Japan
巻	63
号	2
開始ページ	647
終了ページ	673
刊行年月	2011
ISSN	00255645
NCID	AA0070177X
URL	http://hdl.handle.net/11094/24753
権利情報	©2011 The Mathematical Society of Japan
言語	英語

著者版フラグ	author
NII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.63(2) P.647-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2011
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/24753
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
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_issn	00255645
citation_public_url	http://hdl.handle.net/11094/24753
citation_keywords	exponential attractors
	non-autonomous dynamical system
	chemotaxis model

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