Construction of blowup solutions for the Complex Ginzburg-Landau equation with critical parameters

Construction of blowup solutions for the Complex Ginzburg-Landau equation with critical parameters

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.

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Hauptverfasser: Duong, Giao Ky, Nouaili, Nejla, Zaag, Hatem
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Analysis of PDEs
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Zusammenfassung: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.
DOI:10.48550/arxiv.1912.05922