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Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations [PDF]

The Scientific World Journal, 2014
We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. Under some regular assumptions, we can prove the pullback attractors 𝒜ε(t) of equation ut-Δut-
Xinguang Yang, Xiaosong Wang, Juntao Li, Lingrui Zhang   +3 more
doaj   +4 more sources

Entropy Increase in Switching Systems [PDF]

Entropy, 2013
The relation between the complexity of a time-switched dynamics and the complexity of its control sequence depends critically on the concept of a non-autonomous pullback attractor.
Ángel Giménez, Peter E. Kloeden, José M. Amigó   +2 more
doaj   +3 more sources

Pullback 𝒟-Attractor of Nonautonomous Three-Component Reversible Gray-Scott System on Unbounded Domains [PDF]

Abstract and Applied Analysis, 2013
The long time behavior of solutions of the nonautonomous three-components reversible Gray-Scott system defined on the entire space ℝn is studied when the external forcing terms are unbounded in a phase space.
Anhui Gu
doaj   +2 more sources

The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System [PDF]

The Scientific World Journal, 2016
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,
Yongjun Li, Xiaona Wei, Yanhong Zhang
doaj   +2 more sources

Pullback attractor for a nonlocal discrete nonlinear Schrödinger equation with delays

Electronic Journal of Qualitative Theory of Differential Equations, 2021
We consider a nonlocal discrete nonlinear Schrödinger equation with delays. We prove that the process associated with the non-autonomous model possesses a pullback attractor.
Jardel Pereira
doaj   +2 more sources

Upper semi-continuity of pullback attractors for bipolar fluids with delay

Electronic Research Archive, 2023
We investigate bipolar fluids with delay in a $ 2D $ channel $ \Sigma = \mathbb{R}\times (-K, K) $ for some $ K > 0 $. The channel $ \Sigma $ is divided into a sequence of simply connected, bounded, and smooth sub-domains $ \Sigma_n (n = 1, 2, 3\cdot ...
Guowei Liu, Hao Xu, Caidi Zhao
doaj   +2 more sources

Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise [PDF]

Abstract and Applied Analysis, 2014
Long time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval I in R.
Yangrong Li, Hongyong Cui
doaj   +2 more sources

Pullback Attractor for a Non-Autonomous Generalized Cahn-Hilliard Equation with Biological Applications

Mathematical Modelling and Analysis, 2016
In this paper, we consider a non-autonomous generalized Cahn-Hilliard equation with biological applications. It is shown that a pullback attractor of the equation exists when the external force has exponential growth.
Ning Duan
doaj   +3 more sources

Pullback and uniform exponential attractors for non-autonomous Oregonator systems

Open Mathematics
We consider the long-time global dynamics of non-autonomous Oregonator systems. This system is a coupled system of three reaction-diffusion equations, that arises from the Belousov-Zhabotinskii reaction.
Liu Na, Yu Yang-Yang
doaj   +2 more sources

Pullback attractors for nonclassical diffusion delay equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms

Electronic Journal of Differential Equations, 2016
In this article, we prove the existence of pullback attractor in $C([-h,0];H^1(\mathbb{R}^N))$ for a stochastic nonclassical diffusion equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms, and the pullback ...
Fang-Hong Zhang, Wei Han
doaj   +1 more source