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Online ISSN 1552-4485; Print ISSN 0033-569X
Motion of a point vortex in a multiconnected region
Author:
Ambady Suresh
Journal:
Quart. Appl. Math. 42 (1984), 307-309
MSC:
Primary 76C05; Secondary 34C05
DOI:
https://doi.org/10.1090/qam/757168
MathSciNet review:
757168
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Abstract | References | Similar Articles | Additional Information
Abstract: The motion of a single point vortex in a bounded region of the plane with $m$ internal boundaries is considered. For $m \ge 1$, it is shown that there exist $m - 1$ saddle points (counted with multiplicities) where the vortex can remain stationary.
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C. C. Lin, Proc. Natl. Acad. Sci., USA 27, 570–75 (1941)
- Marston Morse, Topological Methods in the Theory of Functions of a Complex Variable, Annals of Mathematics Studies, No. 15, Princeton University Press, Princeton, N. J., 1947. MR 0021089
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Article copyright:
© Copyright 1984
American Mathematical Society