The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System.
ScientificWorldJournal
; 2016: 1871602, 2016.
Article
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| MEDLINE
| ID: mdl-27119090
ABSTRACT
First, for a process {U(t, τ)â£t ≥ τ}, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets {â³(t)â£t ≤ T}, for any T ∈ â, satisfying the following (i) â³(t) is compact, (ii) â³(t) is positively invariant, that is, U(t, τ)â³(τ) â â³(t), and (iii) there exist k, l > 0 such that dist(U(t, τ)B(τ), â³(t)) ≤ ke (-(t-τ)); that is, â³(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 H 0 (1) with exponential growth of the external force.
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MEDLINE
Idioma:
En
Revista:
ScientificWorldJournal
Asunto de la revista:
MEDICINA
Año:
2016
Tipo del documento:
Article
País de afiliación:
China