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

被引:1
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.
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页码:61 / 79
页数:18
相关论文
共 14 条
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  • [14] Wiegner M., Higher order estimates in further dimensions for the solutions of Navier Stokes equations