Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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: 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.

References [Enhancements On Off] (What's this?)

  • [1] C. C. Lin, Proc. Natl. Acad. Sci., USA 27, 570-75 (1941)
  • [2] 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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DOI: https://doi.org/10.1090/qam/757168
Article copyright: © Copyright 1984 American Mathematical Society

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