Nearly parallel helical vortex filaments in the three dimensional Euler equations
Analysis of PDEs
2025-02-14 v2
Abstract
Klein, Majda, and Damodaran have previously developed a formalized asymptotic motion law describing the evolution of nearly parallel vortex filaments within the framework of the three-dimensional Euler equations for incompressible fluids. In this study, we rigorously justify this model for two configurations: the central configuration consisting of regular polygons of helical-filaments rotating with constant speed, and the central configurations of vortex filaments, where an -polygonal central configuration surrounds a central straight filament.
Cite
@article{arxiv.2502.01470,
title = {Nearly parallel helical vortex filaments in the three dimensional Euler equations},
author = {Ignacio Guerra and Monica Musso},
journal= {arXiv preprint arXiv:2502.01470},
year = {2025}
}