Refined asymptotic for the blow-up solution of the Complex Ginzburg-Landau equation in the subcritical case

Giao Ky Duong , Nejla Nouaili (1) , Hatem Zaag (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 LAGA - Laboratoire Analyse, Géométrie et Applications

In this paper, we aim at giving a refined behavior to blow-up solutions for the Complex Ginzburg-Landau (CGL) equation in the subcritical case. More precisely, we construct blowup solutions and refine their blowup profile by a more approached accurate description.

Mots clés: Blow-up profile; Complex Ginzburg-Landau equation

Domaines: Equations aux dérivées partielles [math.AP]

Giao Ky Duong, Nejla Nouaili, Hatem Zaag. Refined asymptotic for the blow-up solution of the Complex Ginzburg-Landau equation in the subcritical case. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, In press, 39 (1), pp.41-85. ⟨10.4171/AIHPC/2⟩. ⟨hal-03090581⟩