On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity
文献类型：期刊论文
| 作者 | Abidi, Hammadi1; Zhang, Ping2,3,4
|
| 刊名 | CHINESE ANNALS OF MATHEMATICS SERIES B
 |
| 出版日期 | 2019-09-01 |
| 卷号 | 40期号:5页码:643-688 |
| 关键词 | Boussinesq systems Littlewood-Paley theory Variable viscosity Maximal regularity of heat equation |
| ISSN号 | 0252-9599 |
| DOI | 10.1007/s11401-019-0156-2 |
| 英文摘要 | 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. |
| 资助项目 | Morningside Center of Mathematics, CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000485305600001 |
| 出版者 | SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35634]  |
| 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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。