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dc.contributor.authorReinaud, Jean Noel
dc.identifier.citationReinaud , J N 2021 , ' Self-similar collapse of three geophysical vortices ' , Geophysical and Astrophysical Fluid Dynamics , vol. 115 , no. 4 , pp. 369-392 .
dc.identifier.otherPURE: 270126322
dc.identifier.otherPURE UUID: 1f630c71-209a-4e57-b940-103ff6f69e44
dc.identifier.otherORCID: /0000-0001-5449-6628/work/82179457
dc.identifier.otherWOS: 000578746800001
dc.identifier.otherScopus: 85092458711
dc.description.abstractThe self-similar collapse of three vortices is the motion of three vortices colliding at a single point at finite time. Such a motion has first been shown to exist for two-dimensional, planar, point vortices. In this paper, we show that the concept generalises naturally to three-dimensional quasi-geostrophic vortices as well as to surface quasi-geostrophic vortices. We first determine the conditions that lead to the collapse for these singular vortices. We then show how these conditions precipitate the merger of finite core vortices both in a three-dimensional quasi-geostrophic flow and in a surface quasi-geostrophic flow.
dc.relation.ispartofGeophysical and Astrophysical Fluid Dynamicsen
dc.rightsCopyright © 2020 Informa UK Limited, trading as Taylor & Francis Group. 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
dc.subjectSurface quasi-geostrophyen
dc.subjectVortex interactionsen
dc.subjectGE Environmental Sciencesen
dc.subjectQA Mathematicsen
dc.subjectQC Physicsen
dc.titleSelf-similar collapse of three geophysical vorticesen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews.Applied Mathematicsen
dc.contributor.institutionUniversity of St Andrews.Scottish Oceans Instituteen
dc.description.statusPeer revieweden

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