Decay estimates for strong solutions of the Navier-Stokes equations in exterior domains

被引：0

作者：

Wiegner M. ^{[1
]}

机构：

[1] Department of Mathematics I, RWTH Aachen

来源：

Annali dell’Università di Ferrara | 2000年 / 46卷 / 1期

关键词：

Weak Solution; Strong Solution; Decay Estimate; Exterior Domain; Global Strong Solution;

D O I：

10.1007/BF02837290

中图分类号：

学科分类号：

摘要：

Based on the Lp-Lq-estimates for the Stokes semigroup on exterior domains, proven by Iwashita and refined by Maremonti-Solonnikov and Shibata, the precise time-asymptotic behaviour of solutions of the Navier-Stokes equations is derived. The estimates are improved, if some additional information on the initial value is available. The results apply also to weak solutions in three and four dimensions. © 2000 Università degli Studi di Ferrara.

引用

页码：61 / 79

页数：18

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