Integrable fourvortex motion on sphere with zero moment of vorticity
Preprint Series # 779 SAKAJO, Takashi Integrable fourvortex motion on sphere with zero moment of vorticity. (2006); AbstractWe consider the motion of four vortex points on sphere, which defines
a Hamiltonian dynamical system. When the moment of vorticity vector,
which is a conserved quantity, is zero at the initial moment, the motion of
the four vortex points is integrable. The present paper gives a description
of the integrable system by reducing it to a threevortex problem. At the
same time, we discuss if the vortex points collide selfsimilarly in finite
time. Item Type:  Preprint 

Additional Information:  10 Copies 

Uncontrolled Keywords:  Vortex Dynamics, Vortex points, flows on sphere, integrable dynamical system 

Subjects:  76xx FLUID MECHANICS 

ID Code:  1520 

