Integrable four-vortex motion on sphere with zero moment of vorticity

Physics of Fluids

Volumn 19, Issue 1, 2007, Pages

  Sakajo, Takashi ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

Vortices

Indexed keywords

FLUID MECHANICS; HAMILTONIANS; TOPOLOGY; VORTEX FLOW; VORTICITY;

FOUR-VORTEX MOTION; HAMILTONIAN DYNAMICAL SYSTEM; THREE-VORTEX PROBLEM;

SPHERES;

FLUID MECHANICS; HAMILTONIANS; SPHERES; TOPOLOGY; VORTEX FLOW; VORTICITY;

EID: 33847789436     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2430716     Document Type: Article

References (15)

1. Y. Kimura and H. Okamoto, "Vortex motion on a sphere," J. Phys. Soc. Jpn. 56, 4203 (1987). jup JUPSAU 0031-9015 10.1143/ JPSJ.56.4203
2. P. K. Newton, The N-vortex Problem, Analytical Techniques (Springer, New York, 2001).
3. R. Kidambi and P. K. Newton, "Motion of three point vortices on a sphere," Physica D 116, 143 (1998). phd PDNPDT 0167-2789 10.1016/ S0167-2789(97)00236-4
4. R. Kidambi and P. K. Newton, "Collision of three vortices on a sphere," Nuovo Cimento Soc. Ital. Fis., C 22C, 779 (1999). ncc NIFCAS 0390-5551
5. T. Sakajo, "The motion of three point vortices on a sphere, " Jpn. J. Ind. Appl. Math. 16, 321 (1999). b5c ZZZZZZ 0916-7005
6. B. Eckhardt, "Integrable four vortex motion," Phys. Fluids 31, 2796 (1988). pfl PFLDAS 0031-9171 10.1063/1.867025
7. H. Aref and M. S. Stremler, "Four-vortex motion with zero total circulation and impulse," Phys. Fluids 11, 3704 (1999). phf PHFLE6 1070-6631 10.1063/1.870233
8. N. Rott, "Constrained three- and four-vortex problems, " Phys. Fluids A 2, 1477 (1990). pfa PFADEB 0899-8213 10.1063/1.857596
9. P. Boyland, M. Stremler, and H. Aref, "Topological fluid mechanics of point vortex motions," Physica D 175, 69 (2003). phd PDNPDT 0167-2789 10.1016/S0167-2789(02)00692-9
10. W. Thurston, "On the geometry and dynamics of diffeomorphism of surfaces," Bull., New Ser., Am. Math. Soc. 19, 417 (1988). au3 ZZZZZZ 0273-0979
11. P. Boyland, H. Aref, and M. Stremler, "Topological fluid mechanics of stirring," J. Fluid Mech. 403, 277 (2000). jfl JFLSA7 0022-1120 10.1017/S0022112099007107
12. J. Birman, "Braids, links, and mapping class groups," in Annals of Mathematical Studies Vol. 82 (Princeton University Press, Princeton, NJ, 1974).
13. K. Murasugi and B. Kurpita, "A study of braids," Mathematics and its Applications Vol. 484, Kluwer Academic, Dordrecht, 1999).
14. Y. Kimura, "Chaos and collapse of point vortices," Fluid Dyn. Res. 3, 98 (1988). fdr FDRSEH 0169-5983 10.1016/0169-5983(88)90050-0
15. H. Aref, "Motion of three vortices," Phys. Fluids 22, 393 (1979). pfl PFLDAS 0031-9171 10.1063/1.862605