On the Evolution of the Vortex Filament Equation for regular $M$-polygons with nonzero torsion

Francisco de la Hoz, Sandeep Kumar, Luis Vega

In this paper, we consider the evolution of the Vortex Filament equation (VFE): \begin{equation*} \mathbf X_t = \mathbf Xs \wedge \mathbf Xss, \end{equation*} taking $M$-sided regu…