Finite-dimensionality of tempered random uniform attractors
type: Item
instance of: scholarly article
title: Finite-dimensionality of tempered random uniform attractors
zbMATH Open document ID: 1487.37091
author: Hongyong Cui
author: Arthur C. Cunha
author: J. A. Langa
published in: Journal of Nonlinear Science
publication date: 2022-01-03T00:00:00Z
review text: This work is a sequel to [\textit{H. Cui} and \textit{J. A. Langa}, J. Differ. Equations 263, No. 2, 1225--1268 (2017; Zbl 1377.37038)]. The authors here focus on sufficient conditions for a random uniform attractor to have finite fractal dimension. These conditions involve a smoothing property and a squeezing property. With these two properties, an upper bound on the fractal dimension of the attractor can be shown.
reviewed by: Joseph Shomberg
Mathematics Subject Classification ID: 37L55
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 37H30
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 28A78
zbMATH DE Number: 7451434
zbMATH Keywords: random uniform attractor
zbMATH Keywords: fractal dimension
zbMATH Keywords: finite-dimensionality
zbMATH Keywords: reaction-diffusion equation
MaRDI profile type: Publication
full work available at URL: s00332-021-09764-8
OpenAlex ID: W4200531890
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DOI: 10.1007/S00332-021-09764-8
description: scientific article; zbMATH DE number 7451434