Notes on the space-time decay rate of the Stokes flows in the half space

被引：3
作者：
Chang, Tongkeun [1 ]
Jin, Bum Ja [2 ]
机构：
[1] Yonsei Univ, CMAC Res Ctr, Seoul 03722, South Korea
[2] Mokpo Natl Univ, Dept Math Educ, Muan Gun 58554, South Korea
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 01期
关键词：
ASYMPTOTIC-BEHAVIOR; EQUATIONS; SYSTEM; L-1;
D O I：
10.1016/j.jde.2017.02.034
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a Stokes equations in the half space R-+(n), n >= 2 has been considered. We derive a rapid decay rate of the Stokes flow in space and time when the initial data decreases fast enough and satisfies some additional condition. Initial data decreasing too slowly to be vertical bar x vertical bar h is an element of L-1 (R-+(n)) are also considered. (C) 2017 Elsevier Inc. All rights reserved.
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页码：240 / 263
页数：24
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