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

  • Referent: Dr. Hatem Zaag
  • Ort: Seminarraum 1.067, Gebäude 20.30
  • Termin: 25.10.2018, 14:00 - 15:00 Uhr
  • Gastgeber: SFB 1173


We construct a solution for the Complex Ginzburg-Landau equation in some critical case, which blows up in finite time T 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 Université Paris Dauphine.