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

Zhang, Zhengce; Li, YanYan

Osaka Journal of Mathematics, 2012, 49(4), 1103-1119

アクセス数:162件（2025-07-09 20:20 集計）

固定URL: https://doi.org/10.18910/23424

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タイトル	ASYMPTOTIC PROFILE OF QUENCHING IN A SYSTEM OF HEAT EQUATIONS COUPLED AT THE BOUNDARY
著者	著者名 Zhang, Zhengce
著者	NRID 1000090348889 1000090348889 著者名 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.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	49(4)
ページ	1103-1119
刊行年月	2012-12
言語	英語
ハンドルURL	https://hdl.handle.net/11094/23424
DOI	https://doi.org/10.18910/23424
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 49, Number 4　(2012-12）

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. 2012, 49(4), p. 1103-1119
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
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2012-12
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	10.18910/23424
DC.format	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_public_url	https://hdl.handle.net/11094/23424
citation_doi_detail	10.18910/23424
citation_doi	https://doi.org/10.18910/23424