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Point vortices on the sphere: Stability of symmetric relative equilibria
| Content Provider | Semantic Scholar |
|---|---|
| Author | Laurent-Polz, Frédéric Montaldi, James Roberts, Mark |
| Copyright Year | 2012 |
| Abstract | We describe the linear and nonlinear stability and instability of certain symmetric configurations of point vortices on the sphere forming relative equilibria. These configurations consist of one or two rings, and a ring with one or two polar vortices. Such configurations have dihedral symmetry, and the symmetry is used to block diagonalize the relevant matrices, to distinguish the subspaces on which their eigenvalues need to be calculated, and also to describe the bifurcations that occur as eigenvalues pass through zero. |
| Starting Page | 439 |
| Ending Page | 486 |
| Page Count | 48 |
| File Format | PDF HTM / HTML |
| DOI | 10.3934/jgm.2011.3.439 |
| Volume Number | 3 |
| Alternate Webpage(s) | https://www.escholar.manchester.ac.uk/api/datastream?datastreamId=POST-PEER-REVIEW-NON-PUBLISHERS.PDF&publicationPid=uk-ac-man-scw:125375 |
| Alternate Webpage(s) | http://eprints.ma.man.ac.uk/1594/1/covered/MIMS_ep2005_28.pdf |
| Alternate Webpage(s) | https://www.escholar.manchester.ac.uk/api/datastream?datastreamId=POST-PEER-REVIEW-PUBLISHERS.PDF&publicationPid=uk-ac-man-scw:125375 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
