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ISSN 1088-6850(e) ISSN 0002-9947(p)

Finiteness of stationary configurations of the four-vortex problem

Author(s): Marshall Hampton; Richard Moeckel
Journal: Trans. Amer. Math. Soc. 361 (2009), 1317-1332.
MSC (2000): Primary 70F10, 70F15, 37N05, 76Bxx
Posted: October 16, 2008
MathSciNet review: 2457400
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

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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