Bifurcation of stationary vortex configurations

Julian I. Palmore

doi:10.1016/S0304-0208(08)71045-4

Bifurcation of stationary vortex configurations

Julian I. Palmore

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	127-131
Number of pages	5
Journal	North-Holland Mathematics Studies
Volume	61
Issue number	C
DOIs	https://doi.org/10.1016/S0304-0208(08)71045-4
State	Published - Jan 1 1982

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Mathematics(all)

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title = "Bifurcation of stationary vortex configurations",

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.",

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Y1 - 1982/1/1

N2 - 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.

AB - 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.

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Bifurcation of stationary vortex configurations

Abstract

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