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

Efendiev, Messoud; Yagi, Atsushi

doi:https://doi.org/10.2969/jmsj/1160745820

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

Efendiev, Messoud; Yagi, Atsushi

Journal of the Mathematical Society of Japan, 2005, 57(1), 167-181

アクセス数:283件（2025-07-09 23:13 集計）

固定URL: https://hdl.handle.net/11094/24751

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タイトル	Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system
著者	著者名 Efendiev, Messoud
著者	NRID 1000070116119 1000070116119 著者名 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.
出版者	The Mathematical Society of Japan
収録物名	Journal of the Mathematical Society of Japan
巻(号)	57(1)
ページ	167-181
刊行年月	2005
言語	英語
ハンドルURL	https://hdl.handle.net/11094/24751
PISSN	00255645
NCID	AA0070177X
関連情報 (isIdenticalTo)	DOI (出版社版) https://doi.org/10.2969/jmsj/1160745820
アクセス権	open access
権利情報	©2005 The Mathematical Society of Japan
出版タイプ	Version of Record
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. 2005, 57(1), p. 167-181
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
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2005
DC.identifier	https://doi.org/10.2969/jmsj/1160745820
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
DC.format	24751
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_doi	https://doi.org/10.2969/jmsj/1160745820
citation_public_url	https://hdl.handle.net/11094/24751

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

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