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Non-self-similar, partial, and robust collapse of four point vortices on a sphere
| Title: | Non-self-similar, partial, and robust collapse of four point vortices on a sphere |
| Authors: | Sakajo, Takashi Browse this author →KAKEN DB |
| Issue Date: | 22-Jul-2008 |
| Publisher: | American Physical Society |
| Journal Title: | Physical Review E |
| Volume: | 78 |
| Issue: | 1 |
| Start Page: | 016312 |
| End Page: | 016320 |
| Publisher DOI: | 10.1103/PhysRevE.78.016312 |
| PMID: | 18764055 |
| Abstract: | This paper gives numerical examples showing that non-self-similar collapse can occur in the motion of four point vortices on a sphere. It is found when the four-vortex problem is integrable, in which the moment of vorticity vector is zero. The non-self-similar collapse has significant properties. It is partial in the sense that three of the four point vortices collapse to one point in finite time and the other one moves to the antipodal position to the collapse point. Moreover, it is robust with respect to perturbation of the initial configuration as long as the system remains integrable. |
| Rights: | © 2008 American Physical Society |
| Type: | article |
| URI: | http://hdl.handle.net/2115/34772 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 坂上 貴之
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