Analysis Seminar

Singular solutions of the binormal flow

Speaker: Valeria Banica, LJLL - Sorbonne Université

Location: Online

Date: Thursday, March 11, 2021, 11 a.m.


The binormal flow is a model for the dynamics of a vortex filament in a 3-D inviscid incompressible fluid. This flow is also related to the classical continuous Heisenberg model in ferromagnetism and to the 1-D cubic Schrödinger equation. In this lecture I will first talk about the state of the art of the binormal flow conjecture, as well as about mathematical methods and results for the binormal flow. Then I will introduce a class of solutions at the critical level of regularity that generate singularities in finite time and describe some of their properties. These results are joint work with Luis Vega.


Talk will be online via Zoom.