2021
DOI: 10.1017/jfm.2020.1035
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Group scattering of point vortices on an unbounded plane

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Cited by 3 publications
(2 citation statements)
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“…Starting with Gröbli [10], studies of the general three-vortex problem [1,6,7,14,16,18] have focused on formulating the equations of motion in terms of the inter-vortex separation lengths,…”
Section: The Classic Formulationmentioning
confidence: 99%
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“…Starting with Gröbli [10], studies of the general three-vortex problem [1,6,7,14,16,18] have focused on formulating the equations of motion in terms of the inter-vortex separation lengths,…”
Section: The Classic Formulationmentioning
confidence: 99%
“…G j ln sin 2 θ j , (3.7) where ρ = R/R 0 is the circle radius normalized by the initial radius, R 0 , and H 0 = 1 2π γ 2 ln(2R 0 ). It has been known since Gröbli's analysis [6,10] that the special case L = 0, g 1 = 0 corresponds to self-similar motion of the vortex triangle for which the interior angles θ j are each constant in time, and numerous authors have investigated this problem; see, for example, [1,11,14,17,18]. If L = 0, then Eq.…”
Section: Constants Of Motionmentioning
confidence: 99%