Finiteness of stationary configurations of the four-vortex problem

By Marshall Hampton, Richard Moeckel. 2008

52 citations recorded by the source corpus.

We show that the number of relative equilibria, equilibria, and rigidly translating configurations in the problem ot tour point vortices is hnite. The proof is based on symbolic and exact integer computations which are carried out by computer. We also provide upper bounds for these classes of stationary configurations.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/33335fc5e91ba02e13ddfa6294c73aad36f908e7