On the decay properties of solutions to the non-stationary Navier-Stokes equations in R-3

CSpace

	On the decay properties of solutions to the non-stationary Navier-Stokes equations in R-3
	He, C ; Xin, ZP
	2001
发表期刊	PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN	0308-2105
卷号	131 页码:597-619
摘要	In 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.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000169500300005
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16244
专题	中国科学院数学与系统科学研究院
通讯作者	He, C
作者单位	1.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
推荐引用方式 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.