Progress has been made very recently on models for the dynamics of one or more vortex filaments in three-dimensional fluids. In this article we survey recent and previous results on this topic. We also present a collection of new situations of filaments collapse.
Valeria Banica. Evelyne Miot. "Evolution, interaction and collisions of vortex filaments." Differential Integral Equations 26 (3/4) 355 - 388, March/April 2013. https://doi.org/10.57262/die/1360092828