Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity | |
Gui, Guilong; Zhang, Ping | |
2009-09-01 | |
Source Publication | CHINESE ANNALS OF MATHEMATICS SERIES B |
ISSN | 0252-9599 |
Volume | 30Issue:5Pages:607-630 |
Abstract | 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. |
Keyword | Inhomogeneous Navier-Stokes equations Littlewood-Paley theory Global smooth solutions |
DOI | 10.1007/s11401-009-0027-3 |
Language | 英语 |
Funding Project | 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 Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000270817500011 |
Publisher | SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/7030 |
Collection | 数学所 |
Corresponding Author | Gui, Guilong |
Affiliation | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
Recommended Citation 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. |
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