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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.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.otherPURE: 270208474
dc.identifier.otherPURE UUID: e5934ff0-acf2-48ed-91fb-129fd3ad2c70
dc.identifier.otherWOS: 000577154700001
dc.identifier.otherORCID: /0000-0001-6489-3395/work/83085923
dc.identifier.otherScopus: 85093104951
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.language.isoeng
dc.relation.ispartofProceedings of the Royal Society A - Mathematical, Physical & Engineering Sciencesen
dc.rightsCopyright © 2020 the Author(s). Published by the Royal Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1098/rspa.2020.0344.en
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.description.versionPostprinten
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.doihttps://doi.org/10.1098/rspa.2020.0344
dc.description.statusPeer revieweden
dc.date.embargoedUntil2020-11-11
dc.identifier.grantnumberEP/H001794/1en


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