Media type: E-Article Title: On self‐similar singular solutions of the complex Ginzburg‐Landau equation Contributor: Plecháč, Petr; Šverák, Vladimír Published: Wiley, 2001 Published in: Communications on Pure and Applied Mathematics, 54 (2001) 10, Seite 1215-1242 Language: English DOI: 10.1002/cpa.3006 ISSN: 0010-3640; 1097-0312 Origination: Footnote: Description: AbstractWe 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.