Attractors for noncompact nonautonomous systems via energy equations.
type: Item
instance of: scholarly article
title: Attractors for noncompact nonautonomous systems via energy equations.
zbMATH Open document ID: 1060.35023
author: Ioana Moise
author: Ricardo M. S. Rosa
author: Xiaoming Wang
published in: Discrete and Continuous Dynamical Systems
publication date: 2004-07-01T00:00:00Z
review text: The authors present an extension to the nonautonomous case of the energy equation for proving the existence of attractors for noncompact systems. To this end they generalize asymptotic compactness property and apply the extended theory to a nonautonomous Navier-Stokes system on an infinite channel past an obstacle, with time-dependent forcing and boundary conditions, and to a nonautonomous, weakly damped, forced Korteweg-de Vries equation on the real line.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37B25
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 2077730
zbMATH Keywords: nonautonomous Navier-Stokes system
zbMATH Keywords: infinite channel past an obstacle
zbMATH Keywords: time-dependent forcing
zbMATH Keywords: weakly damped Korteweg-de Vries equation
zbMATH Keywords: asymptotic compactness
MaRDI profile type: Publication
full work available at URL: dcds.2004.10.473
OpenAlex ID: W2153151017
DOI: 10.3934/DCDS.2004.10.473
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description: scientific article; zbMATH DE number 2077730