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

  • Nejla Nouaili

    Université Paris Dauphine, France

  • Hatem Zaag

    Université Paris 13, Villetaneuse, France
Refined asymptotics for the blow-up solution of the complex Ginzburg–Landau equation in the subcritical case cover
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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