We consider the problem of motion of axisymmetric vortex rings in an ideal incompressible
fluid. Using the topological approach, we present a method for complete qualitative analysis …

Balance laws are derived for the swimming of a deformable body due to prescribed shape
changes and the effect of the wake vorticity. The underlying balances of momenta, though …

In this paper, we study the plane-parallel motion of a circular foil interacting with two vortex
pairs in an infinite volume of an ideal fluid. We assumed that the circulation of the velocity of …

We derive the equations of motion for a planar rigid body of circular shape moving in a 2D
perfect fluid with point vortices using symplectic reduction by stages. After formulating the …

This paper addresses the problem of the motion of an unbalanced circular foil and point
vortices in an ideal incompressible fluid. Using Bernoulli's theorem for unsteady potential …

This paper details the experimental results of the axisymmetric collision of a vortex ring with
a sphere. The experiments were conducted in water and a neutrally buoyant sphere was …

We study a mechanical system that consists of a 2D rigid body interacting dynamically with
two point vortices in an unbounded volume of an incompressible, otherwise vortex-free …

We present a (noncanonical) Hamiltonian model for the interaction of a neutrally buoyant,
arbitrarily shaped smooth rigid body with N thin closed vortex filaments of arbitrary shape in …

The motion of a pair of counter-rotating point vortices placed in a uniform flow around a
circular cylinder forms a rich nonlinear system that is often used to model vortex shedding …

The study of vortex flows around solid obstacles is of considerable interest from both a
theoretical and practical perspective. One geometry that has attracted renewed attention …