Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity
文献类型：期刊论文
| 作者 | Gui, Guilong; Zhang, Ping
|
| 刊名 | CHINESE ANNALS OF MATHEMATICS SERIES B
 |
| 出版日期 | 2009-09-01 |
| 卷号 | 30期号:5页码:607-630 |
| 关键词 | Inhomogeneous Navier-Stokes equations Littlewood-Paley theory Global smooth solutions |
| ISSN号 | 0252-9599 |
| DOI | 10.1007/s11401-009-0027-3 |
| 英文摘要 | Under the assumptions that the initial density rho(0) is close enough to 1 and rho(0) - 1 is an element of Hs+1(R-2), u(0) is an element of H-s (R-2) boolean AND (H) over dot(-epsilon)(R-2) for s > 2 and 0 < epsilon < 1, the authors prove the global existence and uniqueness of smooth solutions to the 2-D inhomogeneous Navier-Stokes equations with the viscous coefficient depending on the density of the fluid. Furthermore, the L-2 decay rate of the velocity field is obtained. |
| 资助项目 | National Natural Science Foundation of China[10525101] ; National Natural Science Foundation of China[10421101] ; Ministry of Science and Technology of China ; Chinese Academy of Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000270817500011 |
| 出版者 | SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7029]  |
| 专题 | 数学所 |
| 通讯作者 | Gui, Guilong |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gui, Guilong,Zhang, Ping. Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2009,30(5):607-630. |
| APA | Gui, Guilong,&Zhang, Ping.(2009).Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity.CHINESE ANNALS OF MATHEMATICS SERIES B,30(5),607-630. |
| MLA | Gui, Guilong,et al."Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity".CHINESE ANNALS OF MATHEMATICS SERIES B 30.5(2009):607-630. |
入库方式： OAI收割
来源：数学与系统科学研究院
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