Vortex clusters on doubly periodic domains show collective rotation and breathing captured at leading order by a complex quadrupole moment derived from pair interactions via the Schottky-Klein prime function.
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Co-rotating vortices on a catenoid rotate rigidly at fixed latitude with angular velocity proportional to the Gaussian curvature gradient, exhibiting linear instability and secular azimuthal drift in generic cases.
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Collective Dynamics of Vortex Clusters in Compact Fluid Domains: From Pair Interactions to a Quadrupole Description
Vortex clusters on doubly periodic domains show collective rotation and breathing captured at leading order by a complex quadrupole moment derived from pair interactions via the Schottky-Klein prime function.
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Co-rotating Vortices on Surfaces of Variable Negative Curvature: Hamiltonian Structure and Curvature-Induced Drift
Co-rotating vortices on a catenoid rotate rigidly at fixed latitude with angular velocity proportional to the Gaussian curvature gradient, exhibiting linear instability and secular azimuthal drift in generic cases.