2014
DOI: 10.1007/s00162-014-0319-4
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Rotation, collapse, and scattering of point vortices

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Cited by 9 publications
(1 citation statement)
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“…The phenomenon of self-similar collapse or expansion (when the initial geometrical form is preserved and only the size of the configuration decreases or increases) was discovered by Gröbli (1877) for three vortices and then it was studied in detail (see e.g. Synge 1949; Novikov & Sedov 1979; Kimura 1990; Borisov & Lebedev 1998; Newton 2001), including cases with a large number of vortices (Demina & Kudryashov 2014; Kudela 2014). It is known (Synge 1949) that intervortical distances are bounded if the strengths of all the vortices have the same sign.…”
Section: Introductionmentioning
confidence: 99%
“…The phenomenon of self-similar collapse or expansion (when the initial geometrical form is preserved and only the size of the configuration decreases or increases) was discovered by Gröbli (1877) for three vortices and then it was studied in detail (see e.g. Synge 1949; Novikov & Sedov 1979; Kimura 1990; Borisov & Lebedev 1998; Newton 2001), including cases with a large number of vortices (Demina & Kudryashov 2014; Kudela 2014). It is known (Synge 1949) that intervortical distances are bounded if the strengths of all the vortices have the same sign.…”
Section: Introductionmentioning
confidence: 99%