Space-time decay for solutions of the Navier-Stokes equations

被引：31
|
作者：
Kukavica, I [1 ]
机构：
[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2001年 / 50卷
关键词：
Navier-Stokes equation; time decay; space decay; strong solutions;
D O I：
10.1512/iumj.2001.50.2084
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We address decay properties of strong solutions of the Navier-Stokes equation. Obtained space-time decay rates agree with those of the heat equation. This improves earlier results by sharpening the exponents, by extending the range of validity in the space variable exponent, and by removing the restriction on the space dimension.
引用
收藏
页码：205 / 222
页数：18
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