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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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.