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Vortex rings in R-3 and rearrangements


Reference:

Badiani, T. V. and Burton, G. R., 2001. Vortex rings in R-3 and rearrangements. Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences, 457 (2009), pp. 1115-1135.

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Abstract

We study the existence of steady axisymmetric vortex rings in an ideal fluid. A functional, comprising a linear combination of kinetic energy and impulse, is to be maximized subject to the constraint that a quantity related to vorticity belongs to a set of rearrangements of a given function. Generalized solutions of a quite specific type are shown to exist, arising as extreme points of a convex extended constraint set. In the case when the given function is the indicator of a set of finite measure, the existence of proper maximizers and local maximizers is demonstrated.

Details

Item Type Articles
CreatorsBadiani, T. V.and Burton, G. R.
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code7494
Additional InformationID number: ISI:000168646200007

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