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math-ph2008★ 4 cited
Interaction of point sources and vortices for incompressible planar fluids
Ernesto A. Lacomba
We consider a new system of differential equations which is at the same time gradient and locally Hamiltonian. It is obtained by just replacing a factor in the equations of interac…
math-ph2008
On polygonal relative equilibria in the N-vortex problem
Martin Celli, Ernesto A. Lacomba, Ernesto Pérez-Chavela
Helmholtz's equations provide the motion of a system of N vortices which describes a planar incompressible fluid with zero viscosity. A relative equilibrium is a particular solutio…