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math.AP2024
Long-time Confinement near Special Vortex Crystals
Martin Donati
In this paper, we control the growth of the support of particular solutions to the Euler two-dimensional equations, whose vorticity is concentrated near special vortex crystals. Th…
math.AP2024
Dynamics of helical vortex filaments in non viscous incompressible flows
Martin Donati, Christophe Lacave, Evelyne Miot
In this paper we study concentrated solutions of the three-dimensional Euler equations in helical symmetry without swirl. We prove that any helical vorticity solution initially con…