2 papers
nlin.PS2024
Pattern formation in coiling of falling viscous threads: Revisiting the geometric model
Will Sze, Eusebius J. Doedel, Ida Karimfazli +1
The "Fluid Mechanic Sewing Machine" creates periodic patterns through the coiling nature of a viscous fluid falling onto a moving surface. At relatively moderate heights, the repor…
math.DS2018
Choreographies in the -vortex problem
Renato Calleja, Eusebius Doedel, Carlos García-Azpeitia
We consider the equations of motion of vortices of equal circulation in the plane, in a disk and on a sphere. The vortices form a polygonal equilibrium in a rotating frame of r…