INITIAL BOUNDARY VALUE PROBLEM FOR 3D BOUSSINESQ SYSTEM WITH THE THERMAL DAMPING

Yu, Yanghai; Tang, Yanbin

Osaka Journal of Mathematics, 2020, 57(1), 61-83

アクセス数:116件（2025-07-06 17:34 集計）

固定URL: https://doi.org/10.18910/73738

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タイトル	INITIAL BOUNDARY VALUE PROBLEM FOR 3D BOUSSINESQ SYSTEM WITH THE THERMAL DAMPING
著者	著者名 Yu, Yanghai
著者	著者名 Tang, Yanbin
抄録	In this paper we consider the initial boundary value problem for the 3D Boussinesq system with the velocity dissipation and weak damping effect to instead of the dissipation effect for the thermal conductivity and establish the global existence of weak solutions. Furthermore, we prove that the global weak solution is strong and unique under some small initial data condition.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(1)
ページ	61-83
刊行年月	2020-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73738
DOI	https://doi.org/10.18910/73738
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 57, Number 1 （2020-1）

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. 2020, 57(1), p. 61-83
DC.title	INITIAL BOUNDARY VALUE PROBLEM FOR 3D BOUSSINESQ SYSTEM WITH THE THERMAL DAMPING
DC.creator	Yu, Yanghai
DC.creator	Tang, Yanbin
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	2020-01
DCTERMS.abstract	In this paper we consider the initial boundary value problem for the 3D Boussinesq system with the velocity dissipation and weak damping effect to instead of the dissipation effect for the thermal conductivity and establish the global existence of weak solutions. Furthermore, we prove that the global weak solution is strong and unique under some small initial data condition.
DC.identifier	10.18910/73738
DC.format	73738
citation_title	INITIAL BOUNDARY VALUE PROBLEM FOR 3D BOUSSINESQ SYSTEM WITH THE THERMAL DAMPING
citation_author	Yu, Yanghai
citation_author	Tang, Yanbin
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	1
citation_firstpage	61
citation_lastpage	83
citation_public_url	https://hdl.handle.net/11094/73738
citation_doi_detail	10.18910/73738
citation_doi	https://doi.org/10.18910/73738