Abstract
This paper investigates spatial decay bounds and a decay rate for the timedependent Stokes flow of a viscous fluid in a semi-infinite channel. We show how to obtain a near optimal decay rate that is independent of the Reynolds number. We also show that a modification to an analysis given in the literature and a better choice of arbitrary constants yield a decay rate 1.328, which is clearly an improvement compared to 0.91 obtained in the referenced work.
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Communicated by Xing-ming GUO
Project supported by the Korea Research Foundation Grant of the Korean Government (No. KRF-2008-521-C00021)
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Song, J.C. Improved spatial decay bounds in the plane Stokes flow. Appl. Math. Mech.-Engl. Ed. 30, 833–838 (2009). https://doi.org/10.1007/s10483-009-0703-z
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DOI: https://doi.org/10.1007/s10483-009-0703-z