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math.AP2025
Filamentation near monotone zonal vortex caps
Gian Marco Marin, Emeric Roulley
We study the Euler equations on a rotating unit sphere, focusing on the dynamics of vortex caps. Leveraging the -stability of monotone, longitude-independent profiles, we demo…
math.AP2025
Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets
Federico Murgante, Emeric Roulley, Stefano Scrobogna
We consider the Kelvin-Helmholtz system describing the evolution of a vortex-sheet near the circular stationary solution. Answering previous numerical conjectures in the 90s physic…