N-Symmetric Interaction of N Hetons, II: Analysis of the Case of Arbitrary N
Konstantin V. Koshel,
Mikhail A. Sokolovskiy,
David G. Dritschel
et al.
Abstract:This paper seeks and examines N-symmetric vortical solutions of the two-layer geostrophic model for the special case when the vortices (or eddies) have vanishing summed strength (circulation anomaly). This study is an extension [Sokolovskiy et al. Phys. Fluids 2020, 32, 09660], where the general formulation for arbitrary N was given, but the analysis was only carried out for N=2. Here, families of stationary solutions are obtained and their properties, including asymptotic ones, are investigated in detail. Fro… Show more
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