1998

• 1.

  Borisov A. V., Pavlov A. E.

  Dynamics and statics of vortices on a plane and a sphere - I
  Regular and Chaotic Dynamics, 1998, vol. 3, no. 1, pp. 28-38
  Abstract          pdf  (223.68 Kb)

  In the present paper a description of a problem of point vortices on a plane and a sphere in the "internal" variables is discussed. The hamiltonian equations of motion of vortices on a plane are built on the Lie–Poisson algebras, and in the case of vortices on a sphere on the quadratic Jacobi algebras. The last ones are obtained by deformation of the corresponding linear algebras. Some partial solutions of the systems of three and four vortices are considered. Stationary and static vortex configurations are found.

  
  

  Citation:	Borisov A. V., Pavlov A. E., Dynamics and statics of vortices on a plane and a sphere - I, Regular and Chaotic Dynamics, 1998, vol. 3, no. 1, pp. 28-38
  DOI:	10.1070/RD1998v003n01ABEH000059
  Full text:	pdf (223.68 Kb)

  Journal Info

  Impact-factor WoS (2014):	0.860
  ISSN (print):	1560-3547
  ISSN (online):	1468-4845
  Site:	http://rcd.ics.org.ru/