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math.AP2026
Isolated yet highly unstable 2D Euler equilibria
Alberto Enciso, Antonio J. Fernández, Marc Nualart
We construct steady solutions of the two-dimensional Euler equations on smooth annular domains that are isolated, modulo scaling, in the vorticity topology. They are hig…
math.AP2026
Vortex-sheet desingularization for three-dimensional ideal fluids
Alberto Enciso, Antonio J. Fernández, David Meyer
We prove a desingularization theorem for analytic vortex sheets of the 3D incompressible Euler equations. Starting from an analytic solution of the corresponding Birkhoff-Rott syst…