### Blow-up for the Complex Ginzburg-Landau in some critical case

- Speaker: Dr. Hatem Zaag
- Place: Seminar room 1.067, Building 20.30
- Time: 25.10.2018, 14:00 - 15:00
- Invited by: CRC 1173

## Abstract

We construct a solution for the Complex Ginzburg-Landau equation in some critical case, which blows up in finite time only at one blow-up point. We also give a sharp description of its profile. The proof relies on the reduction of the problem to a finite dimensional one, and the use of index theory to conclude. The interpretation of the parameters of the finite dimension problem in terms of the blow-up point and time allows to prove the stability of the constructed solution. This is a joint work with Nejla Nouaili from UniversitÃ© Paris Dauphine.