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dc.contributor.authorDritschel, David Gerard
dc.date.accessioned2020-11-11T13:30:02Z
dc.date.available2020-11-11T13:30:02Z
dc.date.issued2020-09-30
dc.identifier270208474
dc.identifiere5934ff0-acf2-48ed-91fb-129fd3ad2c70
dc.identifier000577154700001
dc.identifier85093104951
dc.identifier.citationDritschel , D G 2020 , ' Equilibria and stability of four point vortices on a sphere ' , Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences , vol. 476 , no. 2241 , 20200344 . https://doi.org/10.1098/rspa.2020.0344en
dc.identifier.issn1364-5021
dc.identifier.otherORCID: /0000-0001-6489-3395/work/83085923
dc.identifier.urihttps://hdl.handle.net/10023/20949
dc.descriptionFunding: UK Engineering and Physical Sciences Research Council (grant EP/H001794/1).en
dc.description.abstractThis paper discusses the problem of finding the equilibrium positions of four point vortices, of generally unequal circulations, on the surface of asphere. A random search method is developed which utilises a modification of the linearised equations to converge on distinct equilibria. Many equilibria (47 and possibly more) may exist for prescribed circulations and angular impulse. A linear stability analysis indicates that they are generally unstable,though stable equilibria do exist. Overall, there is a surprising diversity of equilibria, including those which rotate about an axis opposite to the angular impulse vector.
dc.format.extent26
dc.format.extent21529408
dc.language.isoeng
dc.relation.ispartofProceedings of the Royal Society A - Mathematical, Physical & Engineering Sciencesen
dc.subjectVortex dynamicsen
dc.subjectSurfacesen
dc.subjectPoint vorticesen
dc.subjectQA Mathematicsen
dc.subjectQC Physicsen
dc.subjectNDASen
dc.subject.lccQAen
dc.subject.lccQCen
dc.titleEquilibria and stability of four point vortices on a sphereen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.contributor.institutionUniversity of St Andrews. Marine Alliance for Science & Technology Scotlanden
dc.contributor.institutionUniversity of St Andrews. Scottish Oceans Instituteen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.identifier.doi10.1098/rspa.2020.0344
dc.description.statusPeer revieweden
dc.date.embargoedUntil2020-11-11
dc.identifier.grantnumberEP/H001794/1en


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