On the decay properties of solutions to the non-stationary Navier-Stokes equations in R3

被引：43
作者：
He, C [1 ]
Xin, ZP
机构：
[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
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2001年 / 131卷
关键词：
D O I：
10.1017/S0308210500001013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：597 / 619
页数：23
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