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Article Dans Une Revue Memoirs of the American Mathematical Society Année : 2020

Construction of a blow-up solution for the Complex Ginzburg-Landau equation with critical parameters

Résumé

We construct a solution for the Complex Ginzburg-Landau (CGL) equation in a general critical case, which blows up in finite time T only at one blow-up point. We also give a sharp description of its profile.

Dates et versions

hal-02447669 , version 1 (21-01-2020)

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Giao Ky Duong, Nejla Nouaili, Hatem Zaag. Construction of a blow-up solution for the Complex Ginzburg-Landau equation with critical parameters. Memoirs of the American Mathematical Society, In press. ⟨hal-02447669⟩
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