Colloquium @ CEREMADE


Our colloquium takes place on the first Tuesday of each month, in room A709. A renowned expert (being an excellent speaker as well) visits us for an afternoon and gives a panorama of one of her research areas. The only constraint is that the talk should be accessible to all members of the lab, including PhD students in analysis, game theory, probability and statistics.

Free food and drinks are served after the event!

Please do not hesitate to suggest good speakers to the two organizers: Justin Salez and Cristina Toninelli.

Past talks

Next talk

Date: Tuesday, October 4th 2022 (15:30-16:30, room A709)

Speaker: Hanne Van Den Bosch (Universidad de Chile)

Title: Solitary waves in Nonlinear Dirac Equations

Abstract: In nonlinear dispersive equations, the competition between the linear dispersion and nonlinear self-interaction gives rise to localized solutions that maintain their shape as time evolves. Famous examples of this are the solitons in the Korteweg-de Vries equation or solitary waves for the nonlinear Schrödinger equation. In the latter case, there is a beautiful theory to determine if small perturbations in the initial condition remain close to a solitary wave as time evolves, or on the contrary, may completely destroy its shape. In many types of Nonlinear Dirac equations, these special solutions exist as well, but very little is known rigorously about their properties. During the colloquium, I will present this problem and compare the results for the Schrödinger case with those for their Dirac analogues.