3 papers
math.AP2026
An exact Delaunay flux identity for compact equilibria in the liquid drop model
Averkios Averkiou, Manuel del Pino, Monica Musso
We revisit the construction of compact liquid drop equilibria from Delaunay unduloids in [Arch. Ration. Mech. Anal. 249 (2025), Paper No. 74]. We evaluate exactly the coefficient a…
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…