Pullback attractor for nonautonomous Ginzburg-Landau equation with additive noise
type: Item
instance of: scholarly article
title: Pullback attractor for nonautonomous Ginzburg-Landau equation with additive noise
zbMATH Open document ID: 1474.37055
DOI: 10.1155/2014/921750
author: Hongyong Cui
author: Yangrong Li
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Long time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval \(\mathcal{I}\) in \(\mathbb{R}\). By making use of Sobolev embeddings and Gialiardo-Nirenberg inequality we obtain the existence and upper semicontinuity of the pullback attractor in \(L^2(\mathcal{I})\) for the equation. The upper semicontinuity shows the stability of attractors under perturbations.
Mathematics Subject Classification ID: 37H10
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 7023313
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/921750
OpenAlex ID: W2113429441
Wikidata QID: Q59042852
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description: scientific article; zbMATH DE number 7023313