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On the decay properties of solutions to the non-stationary Navier-Stokes equations in R-3
He, C; Xin, ZP
2001
Source PublicationPROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN0308-2105
Volume131Pages:597-619
AbstractIn this paper, we study the asymptotic decay properties in both spatial and temporal variables for a class of weak and strong solutions, by constructing the weak and strong solutions in corresponding weighted spaces. It is shown that, for the strong solution, the rate of temporal decay depends on the rate of spatial decay of the initial data. Such rates of decay are optimal.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000169500300005
PublisherCAMBRIDGE UNIV PRESS
Citation statistics
Cited Times:34[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16244
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
2.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
3.NYU, Courant Inst, New York, NY 10012 USA
4.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
He, C,Xin, ZP. On the decay properties of solutions to the non-stationary Navier-Stokes equations in R-3[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,2001,131:597-619.
APA He, C,&Xin, ZP.(2001).On the decay properties of solutions to the non-stationary Navier-Stokes equations in R-3.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,131,597-619.
MLA He, C,et al."On the decay properties of solutions to the non-stationary Navier-Stokes equations in R-3".PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 131(2001):597-619.
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