Convergent families of approximate inertial manifolds for nonautonomous evolution equations

Authors
Wang, ZX Fan, XL Zhu, ZY
Citation
Zx. Wang et al., Convergent families of approximate inertial manifolds for nonautonomous evolution equations, APP MATH ME, 19(8), 1998, pp. 765-775
Citations number
12
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
19
Issue
8
Year of publication
1998
Pages
765 - 775
Database
ISI
SICI code
0253-4827(199808)19:8<765:CFOAIM>2.0.ZU;2-F
Abstract
In this paper, the long time behavior of nonautonomous infinite dimensional dynamical systems is studied. A family of convergent approximate inertial manifolds for a class of evolution equations has been constructed when the spectral gap condition is satisfied.