On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity | |
Abidi, Hammadi1; Zhang, Ping2,3,4 | |
2019-09-01 | |
Source Publication | CHINESE ANNALS OF MATHEMATICS SERIES B |
ISSN | 0252-9599 |
Volume | 40Issue:5Pages:643-688 |
Abstract | 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. |
Keyword | Boussinesq systems Littlewood-Paley theory Variable viscosity Maximal regularity of heat equation |
DOI | 10.1007/s11401-019-0156-2 |
Language | 英语 |
Funding Project | Morningside Center of Mathematics, CAS |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000485305600001 |
Publisher | SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35635 |
Collection | 数学所 |
Corresponding Author | Abidi, Hammadi |
Affiliation | 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 |
Recommended Citation 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. |
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