Finiteness of stationary configurations of the four-vortex problem

Marshall Hampton; Richard Moeckel

doi:10.1090/s0002-9947-08-04685-0

Finiteness of stationary configurations of the four-vortex problem

Marshall Hampton, Richard Moeckel

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

We show that the number of relative equilibria, equilibria, and rigidly translating configurations in the problem of four point vortices is finite. The proof is based on symbolic and exact integer computations which are carried out by computer. We also provide upper bounds for these classes of stationary configurations.

Original language	English (US)
Pages (from-to)	1317-1332
Number of pages	16
Journal	Transactions of the American Mathematical Society
Volume	361
Issue number	3
DOIs	https://doi.org/10.1090/s0002-9947-08-04685-0
State	Published - Mar 2009

Keywords

Relative equilibria
Vortices

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abstract = "We show that the number of relative equilibria, equilibria, and rigidly translating configurations in the problem of four point vortices is finite. The proof is based on symbolic and exact integer computations which are carried out by computer. We also provide upper bounds for these classes of stationary configurations.",

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Finiteness of stationary configurations of the four-vortex problem

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