G331 極渦のある球面多角形渦糸系の周期解の遷移と安定性(G-33 数理流体(3),一般講演)

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概要

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• We consider the motion of a polygonal ring consists of identical vortex points that are equally spaced at a line of latitude on a sphere with vortex points fixed at the both poles, especially when the number of the vortex points is even. The equations of the vortex points are reduced to those for a pair of two vortex points by assuming a special symmetry. Studying the reduced system mathematically and numerically, we describe an universal transition of global periodic solutions of the perturbed polygonal ring. Moreover, we also discuss the stability of the periodic motion based on the linear stability analysis of the polygonal vortex points.

• 日本流体力学会の論文
• 2004-08-09

著者

• 坂上 貴之

  北大理

関連論文

• G331 極渦のある球面多角形渦糸系の周期解の遷移と安定性(G-33 数理流体(3),一般講演)

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