Phase dynamics in the complex Ginzburg-Landau equation
type: Item
instance of: scholarly article
title: Phase dynamics in the complex Ginzburg-Landau equation
zbMATH Open document ID: 1059.35139
author: Ian Melbourne
author: Guido Schneider
published in: Journal of Differential Equations
publication date: 2004-10-01T00:00:00Z
review text: For suitable parameter values, stable time periodic solutions of a special type form the locally preferred platform for the complex Ginzburg-Landau equation. An evolution equation is derived in a formal manner that describes the spatial global behavior for a local wave number. This local wave number is an approximate solution of a conservation law, and the purpose of this paper is to understand and explain the extent to which the conservation law is valid, by proving estimates for this formal approximation.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 2105459
zbMATH Keywords: Approximation
zbMATH Keywords: complex Ginzburg-Landau equation
zbMATH Keywords: conservation law
zbMATH Keywords: pattern formation
reviewed by: Alan Jeffrey
MaRDI profile type: Publication
full work available at URL: j.jde.2003.11.004
OpenAlex ID: W1970706018
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DOI: 10.1016/J.JDE.2003.11.004
description: scientific article; zbMATH DE number 2105459