The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System
Joint Authors
Li, Yongjun
Wei, Xiaona
Zhang, Yanhong
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-22
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
First, for a process U(t,τ)∣t≥τ, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets M(t)∣t≤T, for any T∈R, satisfying the following: (i) M(t) is compact, (ii) M(t) is positively invariant, that is, U(t,τ)M(τ)⊂M(t), and (iii) there exist k,l>0 such that dist(U(t,τ)B(τ),M(t))≤ke-(t-τ); that is, M(t) pullback exponential attracts B(τ).
Then we give a method to obtain the existence of weak D-pullback exponential attractors for a process.
As an application, we obtain the existence of weak D-pullback exponential attractor for reaction diffusion equation in H01 with exponential growth of the external force.
American Psychological Association (APA)
Li, Yongjun& Wei, Xiaona& Zhang, Yanhong. 2016. The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System. The Scientific World Journal،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1120321
Modern Language Association (MLA)
Li, Yongjun…[et al.]. The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System. The Scientific World Journal No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1120321
American Medical Association (AMA)
Li, Yongjun& Wei, Xiaona& Zhang, Yanhong. The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System. The Scientific World Journal. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1120321
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1120321