Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system

Efendiev, Messoud; Yagi, Atsushi

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タイトル	Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system
著者	Efendiev, Messoud Efendiev, Messoud
著者	Yagi, Atsushi Yagi, Atsushi
キーワード等	dependence on a parameter
	exponential attractors
	chemotaxis-growth system
抄録	We study dependence on a parameter of exponential attractors. As known, exponential attractors are not uniquely determined from a dissipative dynamical system even if they exist. But we prove in this paper that one can construct an exponential attractor which depends continuously on a parameter in the dynamical system. This result is then applied to the chemotaxisgrowth system.
公開者	The Mathematical Society of Japan
掲載誌名	Journal of the Mathematical Society of Japan
巻	57
号	1
開始ページ	167
終了ページ	181
刊行年月	2005
ISSN	00255645
NCID	AA0070177X
URL	http://hdl.handle.net/11094/24751
権利情報	©2005 The Mathematical Society of Japan
言語	英語

著者版フラグ	publisher
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.57(1) P.167-P.181
DC.title	Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system
DC.creator	Efendiev, Messoud
DC.creator	Yagi, Atsushi
DC.publisher	The Mathematical Society of Japan
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2005
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/24751
DC.subject	dependence on a parameter
	exponential attractors
	chemotaxis-growth system
DCTERMS.abstract	We study dependence on a parameter of exponential attractors. As known, exponential attractors are not uniquely determined from a dissipative dynamical system even if they exist. But we prove in this paper that one can construct an exponential attractor which depends continuously on a parameter in the dynamical system. This result is then applied to the chemotaxisgrowth system.
DC.rights	©2005 The Mathematical Society of Japan
citation_title	Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system
citation_author	Efendiev, Messoud
citation_author	Yagi, Atsushi
citation_publisher	The Mathematical Society of Japan
citation_language	英語
citation_date	2005
citation_journal_title	Journal of the Mathematical Society of Japan
citation_volume	57
citation_issue	1
citation_firstpage	167
citation_lastpage	181
citation_issn	00255645
citation_public_url	http://hdl.handle.net/11094/24751
citation_keywords	dependence on a parameter
	exponential attractors
	chemotaxis-growth system

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