English

Cluster of vortex helices in the incompressible $3$d Euler equations

Analysis of PDEs 2023-04-28 v1

Abstract

In an inviscid and incompressible fluid in dimension 3, we prove the existence of several helical filaments, or vortex helices, collapsing into each others.

Keywords

Cite

@article{arxiv.2304.14025,
  title  = {Cluster of vortex helices in the incompressible $3$d Euler equations},
  author = {Ignacio Guerra and Monica Musso},
  journal= {arXiv preprint arXiv:2304.14025},
  year   = {2023}
}