Global existence of solutions to the derivative 2D Ginzburg-Landau equation
type: Item
instance of: scholarly article
title: Global existence of solutions to the derivative 2D Ginzburg-Landau equation
zbMATH Open document ID: 0966.35119
author: Yongsheng Li
author: Boling Guo
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-06-26T00:00:00Z
review text: The authors obtain a result on well-posedness of the Cauchy problem for the two-dimensional derivative Ginzburg-Landau equations.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 82D55
zbMATH DE Number: 1533175
zbMATH Keywords: Ginzburg-Landau equations
zbMATH Keywords: well-posedness
zbMATH Keywords: Cauchy problem
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6880
OpenAlex ID: W2061442296
cites work: On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation
cites work: Length scales in solutions of the complex Ginzburg-Landau equation
cites work: On the Cauchy problem for the 1+2 complex Ginzburg-Landau equation
cites work: Periodic and quasi-periodic solutions of degenerate modulation equations
cites work: Low-dimensional behaviour in the complex Ginzburg-Landau equation
cites work: Weak and strong solutions of the complex Ginzburg-Landau equation
cites work: On the cauchy problem of a generalized ginzburg–landau equation
cites work: Global existence theory for a generalized Ginzburg-Landau equation
cites work: Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation
cites work: Strong selection or rejection of spatially periodic patterns in degenerate bifurcations
cites work: On the initial-value problem for the generalized two-dimensional Ginzburg-Landau equation
cites work: Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
cites work: The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. I: Compactness methods
cites work: Finite dimensional behaviour for the derivative Ginzburg-Landau equation in two spatial dimensions
cites work: Geometric theory of semilinear parabolic equations
cites work: Q4863709
cites work: The complex Ginzburg - Landau equation on large and unbounded domains: sharper bounds and attractors
cites work: Attractors for modulation equations on unbounded domains-existence and comparison
cites work: Q4863710
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Induced trajectories and approximate inertial manifolds for the Ginzburg- Landau partial differential equation
cites work: Analyticity of Essentially Bounded Solutions to Semilinear Parabolic Systems and Validity of the Ginzburg–Landau Equation
DOI: 10.1006/JMAA.2000.6880
description: scientific article; zbMATH DE number 1533175