Dept. Math, Hokkaido Univ. EPrints Server

Integrable four-vortex motion on sphere with zero moment of vorticity

Preprint Series # 779
SAKAJO, Takashi Integrable four-vortex motion on sphere with zero moment of vorticity. (2006);

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Abstract

We 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 three-vortex problem. At the same time, we discuss if the vortex points collide self-similarly in finite time.

Item Type:Preprint
Additional Information:10 Copies
Uncontrolled Keywords:Vortex Dynamics, Vortex points, flows on sphere, integrable dynamical system
Subjects:76-xx FLUID MECHANICS
ID Code:1520