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math-ph2021
Finiteness of Stationary Configurations of the Planar Four-vortex Problem
Xiang Yu
For the planar four-vortex problem, we show that there are finitely many stationary configurations consisting of equilibria, rigidly translating configurations, relative equilibria…
math.DS2021
On the finiteness of four-body central configurations
Xiang Yu, Shuqiang Zhu
The number of central configurations in the four body problem was proved to be finite, first by Hampton and Moeckel, then by Albouy and Kaloshin, when the masses are all positive.…