Dissipative vortex binaries on a torus admit closed-form local solutions, geometry-induced dipole drift, and a finite-time chirp with ω̇ ∝ ω² unlike EM or gravitational inspirals.
Singular vortex pairs follow magnetic geodesics
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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physics.flu-dyn 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
On the flat torus, small co-rotating vortex clusters reduce at leading order to a complex quadrupole whose real and imaginary parts set rotation-rate corrections and slow size breathing.
citing papers explorer
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Dissipative Vortex Binaries in Compact Fluid Domains with Geometric Corrections
Dissipative vortex binaries on a torus admit closed-form local solutions, geometry-induced dipole drift, and a finite-time chirp with ω̇ ∝ ω² unlike EM or gravitational inspirals.
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Collective Dynamics of Vortex Clusters in Compact Fluid Domains: From Pair Interactions to a Quadrupole Description
On the flat torus, small co-rotating vortex clusters reduce at leading order to a complex quadrupole whose real and imaginary parts set rotation-rate corrections and slow size breathing.