Mathematics Winter School 

14/03/2024, 18:00 — 18:15 — Online
Simão Correia, Instituto Superior Técnico

Vortex filaments, the binormal flow and the nonlinear Schrödinger equation

In fluid mechanics, vortex filaments model the evolution of thin tubes with high vorticity. In a first-order approximation, the trajectory of the filament satisfies the binormal flow. Through the Hasimoto transform, the evolution can be reduced to the 1D cubic nonlinear Schrödinger equation. This project focuses on the relation between the geometry of the filament and the qualitative properties of the Schrödinger equation.

See also

18H00_SC.pdf