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Multibump, Blow-Up, Self-Similar Solutions of the Complex Ginzburg--Landau Equation

✍ Scribed by Budd, C. J.; Rottschäfer, V.; Williams, J. F.

Book ID
125506951
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
475 KB
Volume
4
Category
Article
ISSN
1536-0040

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📜 SIMILAR VOLUMES

On self-similar singular solutions of th
On self-similar singular solutions of the complex Ginzburg-Landau equation
✍ Petr Plecháč; Vladimír Šverák 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 637 KB

## Abstract We address the open problem of existence of singularities for the complex Ginzburg‐Landau equation. Using a combination of rigorous results and numerical computations, we describe a countable family of self‐similar singularities. Our analysis includes the supercritical nonlinear Schrödi