Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces
type: Item
instance of: scholarly article
title: Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces
zbMATH Open document ID: 1494.37050
author: Lu Zhang
author: Aihong Zou
author: Tao Yan
author: Ji Shu
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2022-01-21T00:00:00Z
review text: The authors introduce a stochastic PDE of Ginzburg-Landau type involving a nonlinear diffusion term and a Wiener process defined on a complete filtered probability space, which may account for noises related to the presence of uncertainties or random influences. Existence and uniqueness of special attractors (weak pullback mean random attractors) is established in a stochastic setting, in a deterministic setting with random initial data and in a periodic setting where the external forcing terms are periodic in time.
reviewed by: Ayman Kachmar
Mathematics Subject Classification ID: 37L55
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35Q56
zbMATH DE Number: 7461155
zbMATH Keywords: mean random attractor
zbMATH Keywords: pullback attractor
zbMATH Keywords: weak topology
zbMATH Keywords: Bochner space
zbMATH Keywords: Ginzburg-Landau equation
MaRDI profile type: Publication
full work available at URL: dcdsb.2021063
OpenAlex ID: W3133211448
cites work: Q4210478
cites work: On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation
cites work: Random attractors for stochastic reaction-diffusion equations on unbounded domains
cites work: Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
cites work: Attractors for random dynamical systems
cites work: Weak and strong solutions of the complex Ginzburg-Landau equation
cites work: Global existence theory for a generalized Ginzburg-Landau equation
cites work: Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
cites work: Random attractors for stochastic evolution equations driven by fractional Brownian motion
cites work: Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters \(H\in(1/3,1/2]\)
cites work: Finite dimensional behaviour for the derivative Ginzburg-Landau equation in two spatial dimensions
cites work: Mean-square random dynamical systems
cites work: Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations
cites work: Dynamics of non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise
cites work: Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg–Landau equations with multiplicative noise
cites work: Long time behaviour for generalized complex Ginzburg--Landau equation
cites work: Asymptotic behavior of 2D generalized stochastic Ginzburg-Landau equation with additive noise
cites work: Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains
cites work: Limiting dynamics for non-autonomous stochastic retarded reaction-diffusion equations on thin domains
cites work: Q5890172
cites work: Wong-Zakai approximations and long term behavior of stochastic partial differential equations
cites work: Wong-Zakai approximations and asymptotic behavior of stochastic Ginzburg-Landau equations
cites work: A concise course on stochastic partial differential equations
cites work: Momentum estimates and ergodicity for the 3D stochastic cubic Ginzburg-Landau equation with degenerate noise
cites work: Characteristic exponents for a viscous fluid subjected to time dependent forces
cites work: Well-posedness and dynamics of stochastic fractional model for nonlinear optical fiber materials
cites work: Random attractors for the stochastic coupled fractional Ginzburg-Landau equation with additive noise
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
cites work: Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms
cites work: Existence, stability and bifurcation of random complete and periodic solutions of stochastic parabolic equations
cites work: Random attractors for non-autonomous stochastic wave equations with multiplicative noise
cites work: Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
cites work: Weak pullback attractors for mean random dynamical systems in Bochner spaces
cites work: Dynamics of stochastic reaction-diffusion lattice systems driven by nonlinear noise
cites work: Weak pullback attractors for stochastic Navier-Stokes equations with nonlinear diffusion terms
cites work: Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains
DOI: 10.3934/DCDSB.2021063
description: scientific article; zbMATH DE number 7461155