It was recognized, since the seminal papers of Arnold (Ann Inst Grenoble 16: 319–361,
1966) and Ebin-Marsden (Ann Math Ser 2 92 (1): 102–163, 1970), that Euler's equations are …

Differential-geometric-control theory represents a mathematically elegant combination of
differential geometry and control theory. Practically, it allows exploitation of nonlinear …

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 …

Diverse mechanisms for animal locomotion in fluids rely on vortex shedding to generate
propulsive forces. This is a complex phenomenon that depends essentially on fluid viscosity …

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 …

Vortex methods increasingly receive attention from the computer graphics community for
simple and direct modeling of complex flow phenomena such as turbulence. The coupling …

We present a model for the self-propulsion of a free deforming hydrofoil in a planar ideal
fluid. We begin with the equations of motion for a deforming foil interacting with a pre …

The efficient development of control strategies for biomimetic aquatic vehicles that exploit
vortex shedding for propulsion requires mathematical models that are sufficiently rich to …

We consider the controlled motion in an ideal incompressible fluid of a rigid body with
moving internal masses and an internal rotor in the presence of circulation of the fluid …