Inertial manifolds for nonautonomous infinite dimensional dynamical systems
type: Item
instance of: scholarly article
title: Inertial manifolds for nonautonomous infinite dimensional dynamical systems
zbMATH Open document ID: 0921.58031
DOI: 10.1007/BF02452378
author: Zongxing Wang
author: Xianling Fan
author: Zhengyou Zhu
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1999-09-30T00:00:00Z
review text: The main goal of this paper is to construct inertial manifolds for nonautonomous infinite dimensional dynamical systems. Note that at present there exist numerous results describing the long time behaviour of such systems in terms of uniform global attractors. However, the attractor is a complicated set, in general. Therefore it seems to be quite reasonable to describe the long time behaviour of nonautonomous infinite dimensional dynamical systems by finite dimensional smooth manifolds. Under some natural conditions (including the spectral gap condition) the authors prove the existence of inertial manifolds for a class of nonautonomous evolution equations.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 34G20
zbMATH DE Number: 1292903
zbMATH Keywords: long time behaviour
zbMATH Keywords: inertial manifolds
zbMATH Keywords: nonautonomous infinite dimensional dynamical systems
zbMATH Keywords: spectral gap condition
zbMATH Keywords: nonautonomous evolution equations
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02452378
OpenAlex ID: W1998422469
description: scientific article; zbMATH DE number 1292903