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On self-similar singular solutions of the complex Ginzburg-Landau equation

✍ Scribed by Petr Plecháč; Vladimír Šverák

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
637 KB
Volume
54
Category
Article
ISSN
0010-3640

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✦ Synopsis

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 Schrödinger equation as a special case. We also consider the problem of stability of these singularities. © 2001 John Wiley & Sons, Inc.

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