Bifurcation of stationary vortex configurations

Julian I. Palmore

Research output: Contribution to journalArticlepeer-review

Abstract

We examine the dynamics problem of finitely many vortices in a circular disk and study stationary configurations of the vortices. For any fixed number of two or more vortices we prove that there are families of stationary vortex configurations in which bifurcation occurs. Sharp lower bounds on the numbers of stationary configurations are obtained by topological methods.

Original languageEnglish (US)
Pages (from-to)127-131
Number of pages5
JournalNorth-Holland Mathematics Studies
Volume61
Issue numberC
DOIs
StatePublished - Jan 1 1982

ASJC Scopus subject areas

  • Mathematics(all)

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