Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity

doi:10.1007/s11401-009-0027-3

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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
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	30 期号:5 页码:607-630
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.
关键词	Inhomogeneous Navier-Stokes equations Littlewood-Paley theory Global smooth solutions
DOI	10.1007/s11401-009-0027-3
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000270817500011
出版者	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7030
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.