Finiteness of stationary configurations of the four-vortex problem

Marshall Hampton, Richard Moeckel

Research output: Contribution to journalArticlepeer-review

25 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 languageEnglish (US)
Pages (from-to)1317-1332
Number of pages16
JournalTransactions of the American Mathematical Society
Volume361
Issue number3
DOIs
StatePublished - Mar 2009

Keywords

  • Relative equilibria
  • Vortices

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