Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (7): 875-882.doi: https://doi.org/10.1007/s10483-010-1321-z

• Articles • 上一篇    下一篇

Phragmén-Lindelöf and continuous dependence type results in a Stokes flow

 J.C.SONG   

  1. Department of Applied Mathematics, Hanyang University, Ansan, Gyeonggi-do 426-791, Korea
  • 收稿日期:2009-12-12 修回日期:2010-04-01 出版日期:2010-07-01 发布日期:2010-07-01

Phragmén-Lindelöf and continuous dependence type results in a Stokes flow

 J.C.SONG   

  1. Department of Applied Mathematics, Hanyang University, Ansan, Gyeonggi-do 426-791, Korea
  • Received:2009-12-12 Revised:2010-04-01 Online:2010-07-01 Published:2010-07-01

摘要: This paper investigates the asymptotic behavior of end effects for a Stokes flow defined on a three-dimensional semi-infinite cylinder. With homogeneous Dirichlet conditions of the velocity on the lateral surface of the cylinder, solutions either grow or decay exponentially in the distance from the finite end of the cylinder. In the case of decay, the effect of perturbing the equation parameters is also investigated.

Abstract: This paper investigates the asymptotic behavior of end effects for a Stokes flow defined on a three-dimensional semi-infinite cylinder. With homogeneous Dirichlet conditions of the velocity on the lateral surface of the cylinder, solutions either grow or decay exponentially in the distance from the finite end of the cylinder. In the case of decay, the effect of perturbing the equation parameters is also investigated.

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