ASYMPTOTIC PROFILE OF QUENCHING IN A SYSTEM OF HEAT EQUATIONS COUPLED AT THE BOUNDARY

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タイトル	ASYMPTOTIC PROFILE OF QUENCHING IN A SYSTEM OF HEAT EQUATIONS COUPLED AT THE BOUNDARY
著者	Zhang, Zhengce Zhang, Zhengce
著者	Li, YanYan Li, YanYan
抄録	We study finite time quenching for the radial solutions of a system of heat equations coupled at the boundary condition. This system exhibits simultaneous and non-simultaneous quenching. In particular, three kinds of simultaneous quenching profiles are obtained for different nonlinear exponent regions and appropriate initial data.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	49
号	4
開始ページ	1103
終了ページ	1119
刊行年月	2012-12
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/23424
言語	英語
DOI	info:doi/10.18910/23424

著者版フラグ	publisher
NII資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
dcmi資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics.49(4) P.1103-P.1119
DC.title	ASYMPTOTIC PROFILE OF QUENCHING IN A SYSTEM OF HEAT EQUATIONS COUPLED AT THE BOUNDARY
DC.creator	Zhang, Zhengce
DC.creator	Li, YanYan
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2012-12
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/23424
DCTERMS.abstract	We study finite time quenching for the radial solutions of a system of heat equations coupled at the boundary condition. This system exhibits simultaneous and non-simultaneous quenching. In particular, three kinds of simultaneous quenching profiles are obtained for different nonlinear exponent regions and appropriate initial data.
DC.identifier	info:doi/10.18910/23424
citation_title	ASYMPTOTIC PROFILE OF QUENCHING IN A SYSTEM OF HEAT EQUATIONS COUPLED AT THE BOUNDARY
citation_author	Zhang, Zhengce
citation_author	Li, YanYan
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-12
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	4
citation_firstpage	1103
citation_lastpage	1119
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/23424
citation_doi	info:doi/10.18910/23424