Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
30 (1989), S. 1373-1379
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The equations of motion for infinite doubly periodic configurations of point vortices are derived. A Hamiltonian for the motion, generalizing that of Kirchhoff for finite configurations, is found and used to deduce an expression for the energy of an arbitrary vortex lattice. The energy of a lattice with periodic defects is computed. Some special stationary lattice configurations are shown to exist and integral curves for some two- and three-vortex lattice motions are exhibited.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528605
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