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math.AP2025
On the dynamics of leapfrogging vortex rings
Martin Donati, Lars Eric Hientzsch, Christophe Lacave +1
The evolution of highly concentrated vorticity around rings in the three-dimensional axisymmetric Euler equations is studied in a regime for which the leapfrogging dynamics predict…
math.AP2025
Fast relaxation of a viscous vortex in an external flow
Martin Donati, Thierry Gallay
We study the evolution of a concentrated vortex advected by a smooth, divergence-free velocity field in two space dimensions. In the idealized situation where the initial vorticity…