Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On a class of Stokes flows inside a corrugated boundary

Author: W. W. Hackborn
Journal: Quart. Appl. Math. 51 (1993), 329-341
MSC: Primary 76D07; Secondary 35Q30
DOI: https://doi.org/10.1090/qam/1218372
MathSciNet review: MR1218372
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Abstract: A study is made of a family of steady two-dimensional Stokes flows stirred by an infinitesimal rotating cylinder (a line rotlet) inside a corrugated boundary. Parameters govern the position of the stirrer and the number and sharpness of ridges in the boundary. A solution is found in terms of a finite combination of elementary functions. It is demonstrated that the flow exhibits some interesting dynamical features such as peculiar bifurcations and homoclinic orbits.

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DOI: https://doi.org/10.1090/qam/1218372
Article copyright: © Copyright 1993 American Mathematical Society

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