Vortex rings in R-3 and rearrangements
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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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.
|Creators||Badiani, T. V.and Burton, G. R.|
|Departments||Faculty of Science > Mathematical Sciences|
|Additional Information||ID number: ISI:000168646200007|
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