平面Stokes流动中改良的空间衰减限

J·C·宋

doi:10.3879/j.issn.1000-0887.2009.07.003

平面Stokes流动中改良的空间衰减限

doi: 10.3879/j.issn.1000-0887.2009.07.003

J·C·宋

汉阳大学应用数学系,安山京畿道426_791,韩国

基金项目: 韩国国家研究基金会资助项目(KRF-2008-521-C00021)

详细信息

中图分类号: O357.1
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出版历程
- 收稿日期: 2008-12-03
- 修回日期: 2009-05-04
- 刊出日期: 2009-07-15

Improved Spatial Decay Bounds in the Plane Stokes Flow

J. C. Song

Department of Applied Mathematics, Hanyang University, Ansan, Gyeonggido 426-791, Korea

摘要

摘要: 研究半无限通道中，时变粘性流体Stokes流动时的空间衰减限和衰减率．得到了一个近乎最优的衰减率，且与Reynolds数无关．修正了Lin和Song的分析，选用更佳的任意常数得到衰减率为1.328，明显地改进了Lin得到结果0.91．
- 空间衰减限 /
- 微分不等式 /
- 衰减率 /
- Stokes流动
Abstract: Spatial decay bounds and a decay rate for the time-dependent Stokes flow of a viscous fluid was investigated in a semi-infinite channel.It is shown how to obtain a near optimal decay rate that is independent of the Reynolds number.It is also shown that a modification of the analysis given by Lin-Song and a somewhat better choice of arbitrary constants yield the decay rate 1.328 which clearly improves upon that 0.91 obtained by Lin.
- spatial decay bound /
- differential inequality /
- decay rate /

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参考文献(13)

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