The Motion of Three Point Vortices on a Sphere

Japan Journal of Industrial and Applied Mathematics

Volumn 16, Issue 3, 1999, Pages 321-347

  Sakajo, Takashi ^a,b  

^a KYOTO UNIVERSITY   (Japan)

^b NAGOYA UNIVERSITY   (Japan)

Author keywords

Blow up; Integrable; Point vortex; Sphere

Indexed keywords

EID: 0345895107     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167361     Document Type: Article

References (8)

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3. V.A. Bogomolov, Dynamics of vorticity at a sphere. Izv. Acad. Sci. USSR Atoms. Oceanic Phys., 15 (1979), 863-870.
4. B. Eckhardt, Integrable four vortex motion. Phys. Fluids, 31 (1988), 2796-2801.
5. Y. Kimura, Similarity solution of two-dimensional point vortices. J. Phys. Soc. Japan, 56 (1987), 2024-2030.
6. H. Okamoto, Nonlinear Dynamics (in Japanese). Chapter 4.
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8. J.L. Synge, On the motion of three vortices. Canadian J. Math., 1 (1949), 257-270.