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Equilibria and stability of four point vortices on a sphere
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dc.contributor.author | Dritschel, David Gerard | |
dc.date.accessioned | 2020-11-11T13:30:02Z | |
dc.date.available | 2020-11-11T13:30:02Z | |
dc.date.issued | 2020-09-30 | |
dc.identifier | 270208474 | |
dc.identifier | e5934ff0-acf2-48ed-91fb-129fd3ad2c70 | |
dc.identifier | 000577154700001 | |
dc.identifier | 85093104951 | |
dc.identifier.citation | Dritschel , 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.2020.0344 | en |
dc.identifier.issn | 1364-5021 | |
dc.identifier.other | ORCID: /0000-0001-6489-3395/work/83085923 | |
dc.identifier.uri | https://hdl.handle.net/10023/20949 | |
dc.description | Funding: UK Engineering and Physical Sciences Research Council (grant EP/H001794/1). | en |
dc.description.abstract | This 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.extent | 26 | |
dc.format.extent | 21529408 | |
dc.language.iso | eng | |
dc.relation.ispartof | Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences | en |
dc.subject | Vortex dynamics | en |
dc.subject | Surfaces | en |
dc.subject | Point vortices | en |
dc.subject | QA Mathematics | en |
dc.subject | QC Physics | en |
dc.subject | NDAS | en |
dc.subject.lcc | QA | en |
dc.subject.lcc | QC | en |
dc.title | Equilibria and stability of four point vortices on a sphere | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.institution | University of St Andrews. Marine Alliance for Science & Technology Scotland | en |
dc.contributor.institution | University of St Andrews. Scottish Oceans Institute | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | https://doi.org/10.1098/rspa.2020.0344 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2020-11-11 | |
dc.identifier.grantnumber | EP/H001794/1 | en |
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