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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Communicated by Xing-ming GUO
Project supported by the National Research Foundation of Korea (NRF) (No. 2010-0012215)
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Song, J.C. Phragmén-Lindelöf and continuous dependence type results in a Stokes flow. Appl. Math. Mech.-Engl. Ed. 31, 875–882 (2010). https://doi.org/10.1007/s10483-010-1321-z
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DOI: https://doi.org/10.1007/s10483-010-1321-z