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Integrable four-vortex motion on sphere with zero moment of vorticity
Title: | Integrable four-vortex motion on sphere with zero moment of vorticity |
Authors: | SAKAJO, Takashi Browse this author |
Keywords: | VorteVortex points | Flow on a sphere | Integrable systemx Dynamics | Vortex points | flows on sphere | integrable dynamical system |
Issue Date: | 3-Apr-2006 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 779 |
Start Page: | 1 |
End Page: | 32 |
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. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69587 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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