Improved spatial decay bounds in the plane Stokes flow

doi:10.1007/s10483-009-0703-z

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (7): 833-838.doi: https://doi.org/10.1007/s10483-009-0703-z

Improved spatial decay bounds in the plane Stokes flow

J.C.Song

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

收稿日期:2008-12-03 修回日期:2008-12-01 出版日期:2009-07-01 发布日期:2009-07-01

Improved spatial decay bounds in the plane Stokes flow

J.C.Song

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

Received:2008-12-03 Revised:2008-12-01 Online:2009-07-01 Published:2009-07-01

摘要/Abstract

摘要： 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.

关键词: spatial decay bound, differential inequality, decay rate

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.

Key words: spatial decay bound, differential inequality, decay rate

中图分类号:

J.C.Song. Improved spatial decay bounds in the plane Stokes flow[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(7): 833-838.

[1]	J. C. SONG. Asymptotic and other estimates for semilinear parabolic problem in semi-infinite cylinder[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(10): 1333-1338.
[2]	S.R.CHIDELLA M.K.YADAV. Large time asymptotics for solutions to a nonhomogeneous Burgers equation[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(09): 1189-1196.
[3]	J.C.SONG. Phragmén-Lindelöf and continuous dependence type results in a Stokes flow[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(7): 875-882.
[4]	黄锦舞韩晓莹周盛凡. Uniform attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(12): 1597-.

Improved spatial decay bounds in the plane Stokes flow

Improved spatial decay bounds in the plane Stokes flow

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