Refined asymptotics for the blow-up solution of the complex Ginzburg–Landau equation in the subcritical case

Giao Ky Duong; Nejla Nouaili; Hatem Zaag

doi:10.4171/aihpc/2

JournalsaihpcVol. 39, No. 1pp. 41–85

Refined asymptotics for the blow-up solution of the complex Ginzburg–Landau equation in the subcritical case

Giao Ky Duong
New York University in Abu Dhabi, United Arab Emirates
- zbMATH Open
Nejla Nouaili
Université Paris Dauphine, France
- zbMATH Open
Hatem Zaag
Université Paris 13, Villetaneuse, France

Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

In this paper, we aim to refine the blow-up behavior for the complex Ginzburg–Landau (CGL) equation in some subcritical case. More precisely, we construct blow-up solutions and refine their blow-up profile to the next order.

Cite this article

Giao Ky Duong, Nejla Nouaili, Hatem Zaag, Refined asymptotics for the blow-up solution of the complex Ginzburg–Landau equation in the subcritical case. Ann. Inst. H. Poincaré Anal. Non Linéaire 39 (2022), no. 1, pp. 41–85

DOI 10.4171/AIHPC/2