Dancing vortices;Tourbillons dansants

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 333, Issue 10, 2001, Pages 943-946

  Tokieda, Tadashi ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346487215     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)02162-0     Document Type: Article

References (11)

1. Aref H. Integrable, chaotic, and turbulent motion in two-dimensional flows. Ann. Rev. Fluid Mech. 15:1983;345-389.
2. Helmholtz H. von. Über Integrale der hydrodynamischen Gleichungen welche den Wirbelbewegungen entsprechen. Crelles J. 55:1858;25.
3. Khanin K.M. Quasiperiodic motions of vortex systems. Physica D. 4:1982;261-269.
4. Kimura Y. Vortex motion on surfaces with constant curvature. Proc. Roy. Soc. London Ser. A. 455:1999;245-259.
5. Kirchhoff G. Vorlesungen über Mathematische Physik. 'Mechanik', Kap. XX. 1876;Teubner, Leipzig.
6. Lim C., Montaldi J., Roberts M. Relative equilibria of point vortices on the sphere. Physica D. 148:2001;97-135.
7. Montaldi J., Tokieda T., Persistence of extremal relative equilibria and openness of the momentum map, Preprint.
8. Newton P. The N -Vortex Problem. 2001;Springer, New York.
9. Onsager L. Statistical hydrodynamics. Nuovo Cimento. 6:1949;279-287.
10. Thomson J.J. A Treatise on the Motion of Vortex Rings (Adams Prize Essay). 1883;Macmillan, London.
11. Thomson W. (Lord Kelvin). On vortex motion. Trans. Roy. Soc. Edinburgh. 25:1869;217-260.