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: 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.
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
C. C. Lin, Proc. Natl. Acad. Sci., USA 27, 570–75 (1941)
M. Morse, Topological Methods in the Theory of Functions of a Complex Variable, Ann. of Math. Studies 15, Princeton Univ. Press
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Article copyright:
© Copyright 1984
American Mathematical Society
