2 papers
math.NT2024
Regular Polygonal Vortex Filament Evolution and Exponential Sums
Fernando Chamizo, Francisco de la Hoz
In this paper, we give a rigorous proof for the expression of the angle between adjacent sides in the skew polygons appearing at rational times in the evolution of regular polygons…
math.AP2024
A study of the reconnection of antiparallel vortices in the infinitely thin case and in the finite thickness case
Francisco de la Hoz, Sergei Iakunin
The simplest case is the reconnection of a pair of antiparallel line vortices, e.g., condensation trails of an aircraft. The vortices first undergo long wave deformation (Crow wave…