Two Colored Diagrams for Central Configurations of the Planar Five-vortex Problem

Xiang Yu; Shuqiang Zhu

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arXiv · 2411.09715

Two Colored Diagrams for Central Configurations of the Planar Five-vortex Problem

Xiang Yu·Shuqiang Zhu

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Abstract

We apply the singular sequence method to investigate the finiteness problem for stationary configurations of the planar five-vortex problem. The initial step of the singular sequence method involves identifying all two-colored diagrams. These diagrams represent potential scenarios where finiteness may fail. We determined all such diagrams for the planar five-vortex problem.

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Xiang Yu, Shuqiang Zhu. 2024-11-13. Two Colored Diagrams for Central Configurations of the Planar Five-vortex Problem. https://arxiv.org/abs/2411.09715

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