Attractors of nonautonomous dynamical systems and an estimation of their dimension
type: Item
instance of: scholarly article
title: Attractors of nonautonomous dynamical systems and an estimation of their dimension
zbMATH Open document ID: 0866.35022
DOI: 10.1007/BF01263311
published in: Mathematical Notes
publication date: 1994-04-12T00:00:00Z
review text: The authors introduce a conception of attractors for families of processes in Banach spaces and formulate sufficient conditions for the existence of such attractors. Furthermore, they state asymptotic (for \(k\to \infty)\) estimates for the Hausdorff dimension of attractors for the two dimensional Navier-Stokes system and for a class of reaction-diffusion systems, both with quasiperiodic right hand sides \(f(t)\), where \(k\) is the number of rational independent frequencies of \(f\).
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 37C70
zbMATH DE Number: 525704
zbMATH Keywords: families of processes in Banach spaces
zbMATH Keywords: two dimensional Navier-Stokes system
zbMATH Keywords: quasiperiodic right hand sides
author: Mark Iosifovich Višik
author: Vladimir V. Chepyzhov
reviewed by: Lutz Recke
MaRDI profile type: Publication
cites work: On the smoothness of weak solutions of quasilinear equations in several variables and of variational problems
cites work: Q3310988
cites work: Q4313959
full work available at URL: https://doi.org/10.1007/bf01263311
OpenAlex ID: W2094816919
description: scientific article; zbMATH DE number 525704