globalsmoothsolutionstothe2dinhomogeneousnavierstokesequationswithvariableviscosity

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	globalsmoothsolutionstothe2dinhomogeneousnavierstokesequationswithvariableviscosity
	Guilong GUI; Ping ZHANG
	2009
发表期刊	chineseannalsofmathematicsseriesb
ISSN	0252-9599
卷号	30 期号:5 页码:607
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.
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Ministry of Science and Technology of China] ; [Chinese Academy of Sciences]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/42835
专题	数学所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Guilong GUI,Ping ZHANG. globalsmoothsolutionstothe2dinhomogeneousnavierstokesequationswithvariableviscosity[J]. chineseannalsofmathematicsseriesb,2009,30(5):607.
APA	Guilong GUI,&Ping ZHANG.(2009).globalsmoothsolutionstothe2dinhomogeneousnavierstokesequationswithvariableviscosity.chineseannalsofmathematicsseriesb,30(5),607.
MLA	Guilong GUI,et al."globalsmoothsolutionstothe2dinhomogeneousnavierstokesequationswithvariableviscosity".chineseannalsofmathematicsseriesb 30.5(2009):607.