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Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity
Gui, Guilong; Zhang, Ping
2009-09-01
Source PublicationCHINESE ANNALS OF MATHEMATICS SERIES B
ISSN0252-9599
Volume30Issue:5Pages:607-630
AbstractUnder 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.
KeywordInhomogeneous Navier-Stokes equations Littlewood-Paley theory Global smooth solutions
DOI10.1007/s11401-009-0027-3
Language英语
Funding ProjectNational 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 AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000270817500011
PublisherSHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/7030
Collection数学所
Corresponding AuthorGui, Guilong
AffiliationChinese 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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