Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Equilibrium vortex configurations in domains with boundary

Author: Kenneth G. Miller
Journal: Quart. Appl. Math. 56 (1998), 553-568
MSC: Primary 76B47
DOI: https://doi.org/10.1090/qam/1632318
MathSciNet review: MR1632318
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Abstract: Given a stable configuration of point vortices for steady two-dimensional inviscid, incompressible fluid flow in a domain $ D$, it is shown that there is another stable configuration of stationary vortices in $ D$ with vortices near the original vortices plus additional vortices near any points on the boundary where the speed of the original flow is a nonzero relative minimum.

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DOI: https://doi.org/10.1090/qam/1632318
Article copyright: © Copyright 1998 American Mathematical Society

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