Nonlinear phenomena in dispersive equations

Session

Mini-course by Valeria BANICA

24 mai 2018, 09:00

Salle de Réunion - Bâtiment M2 (Laboratoire Paul Painlevé)

19. Dynamics of vortex filaments (Part 1)

Valeria Banica

24/05/2018 09:00

In this lectures I shall present first the known models for dynamics of vortex filaments. Then I shall focus on the binormal flow model and on its link with the 1-D cubic nonlinear Schrödinger equation. Finally I shall describe several frameworks of formation of singularities in finite time, both at the level of the binormal flow and at the level of the Schrödinger equation.

20. Dynamics of vortex filaments (Part 2)

Valeria Banica

25/05/2018 09:00

In this lectures I shall present first the known models for dynamics of vortex filaments. Then I shall focus on the binormal flow model and on its link with the 1-D cubic nonlinear Schrödinger equation. Finally I shall describe several frameworks of formation of singularities in finite time, both at the level of the binormal flow and at the level of the Schrödinger equation.