2 papers
math.AP2026
Clustered vortex helices with compactly supported cross-sectional vorticity in the 3D Euler equations
Averkios Averkiou, Monica Musso, Fang Yu
We consider the three-dimensional incompressible Euler equations for helical flows without swirl. By adapting gluing techniques, we construct the first smooth multi-vortex solution…
math.AP2025
Helical vortex filaments with compactly supported cross-sectional vorticity for the incompressible Euler equations in
Averkios Averkiou, Monica Musso
We revisit the vortex filament conjecture for three-dimensional inviscid and incompressible Euler flows with helical symmetry and no swirl. Using gluing arguments, we provide the f…