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

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.

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Bibliographic Details
Published inAnnales de l'Institut Henri Poincaré. Analyse non linéaire Vol. 39; no. 1; pp. 41 - 85
Main Authors Duong, Giao Ky, Nouaili, Nejla, Zaag, Hatem
Format Journal Article
LanguageEnglish
Published 09.02.2022
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Summary: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.
ISSN:0294-1449
1873-1430
DOI:10.4171/aihpc/2