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math.AP2026
Vorticity confinement for 2D incompressible flows in an infinite cylinder
Paolo ButtÃ, Guido Cavallaro
We study the confinement of vorticity for two-dimensional incompressible flows in an infinite cylinder. For Navier-Stokes solutions with non-negative and compactly supported initia…
math.AP2024
Leapfrogging vortex rings as scaling limit of Euler Equations
Paolo ButtÃ, Guido Cavallaro, Carlo Marchioro
We consider an incompressible fluid with axial symmetry without swirl, assuming initial data such that the initial vorticity is very concentrated inside small disjoint rings of…
math.AP2024
Long time evolution of concentrated vortex rings with large radius
Paolo ButtÃ, Guido Cavallaro, Carlo Marchioro
We study the time evolution of an incompressible fluid with axial symmetry without swirl when the vorticity is sharply concentrated on annuli of radii of the order of and…