On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity

doi:10.1007/s11401-019-0156-2

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	On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity
	Abidi, Hammadi 1; Zhang, Ping2,3,4
	2019-09-01
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	40 期号:5 页码:643-688
摘要	In this paper, the authors first consider the global well-posedness of 3-D Boussinesq system, which has variable kinematic viscosity yet without thermal conductivity and buoyancy force, provided that the viscosity coefficient is sufficiently close to some positive constant in L-infinity and the initial velocity is small enough in L-infinity. With some thermal conductivity in the temperature equation and with linear buoyancy force theta e(3) on the velocity equation in the Boussinesq system, the authors also prove the global well-posedness of such system with initial temperature and initial velocity being sufficiently small in L-1(R-3) and B-3,1(0) (R-3) respectively.
关键词	Boussinesq systems Littlewood-Paley theory Variable viscosity Maximal regularity of heat equation
DOI	10.1007/s11401-019-0156-2
语种	英语
资助项目	Morningside Center of Mathematics, CAS
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000485305600001
出版者	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35635
专题	数学所
通讯作者	Abidi, Hammadi
作者单位	1.Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Abidi, Hammadi,Zhang, Ping. On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2019,40(5):643-688.
APA	Abidi, Hammadi,&Zhang, Ping.(2019).On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity.CHINESE ANNALS OF MATHEMATICS SERIES B,40(5),643-688.
MLA	Abidi, Hammadi,et al."On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity".CHINESE ANNALS OF MATHEMATICS SERIES B 40.5(2019):643-688.