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 EmiratesNejla Nouaili
Université Paris Dauphine, FranceHatem Zaag
Université Paris 13, Villetaneuse, France
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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