Improved Spatial Decay Bounds in the Plane Stokes Flow
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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.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.
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Key words:
- spatial decay bound /
- differential inequality /
- decay rate /
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