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Pullback Attractors for Nonautonomous Degenerate Kirchhoff Equations with Strong Damping [PDF]

Advances in Mathematical Physics, 2021
In this paper, we obtain the existence of pullback attractors for nonautonomous Kirchhoff equations with strong damping, which covers the case of possible generation of the stiffness coefficient.
Honglv Ma, Jing Wang, Jun Xie
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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
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Pullback attractors for a class of non-autonomous reaction-diffusion equations in R n $\mathbb{R}^{n}$ [PDF]

Boundary Value Problems, 2017
The aim of this paper is to consider the dynamical behaviour for a class of non-autonomous reaction-diffusion equations in R n $\mathbb{R}^{n}$ , where the external force g ( x , t ) $g(x,t)$ satisfies only a certain integrability condition.
Qiangheng Zhang
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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
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Pullback D-attractors of the three-dimensional non-autonomous micropolar equations with damping

Electronic Research Archive, 2022
In this paper, we consider the three-dimensional non-autonomous micropolar equations with damping term in periodic domain $ \mathbb{T}^{3} $. By assuming external forces satisfy certain condtions, the existence of pullback $ \mathcal{D} $-attractors for ...
Xiaojie Yang, Hui Liu , Haiyun Deng , Chengfeng Sun   +3 more
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Pullback attractors for fractional lattice systems with delays in weighted space [PDF]

Open Mathematics
This article deals with the asymptotic behavior of fractional lattice systems with time-varying delays in weighted space. First, we establish some sufficient conditions for the existence and uniqueness of solutions.
Li Xintao, Wang Shengwen
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Existence of pullback attractors for the coupled suspension bridge equations

Electronic Journal of Differential Equations, 2011
In this article, we study the existence of pullback D-attractors for the non-autonomous coupled suspension bridge equations with hinged ends and clamped ends, respectively.
Qiaozhen Ma, Binli Wang
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Pullback attractors for a class of semilinear nonclassical diffusion equations with delay

Electronic Journal of Differential Equations, 2016
In this article, we analyze the existence of solutions for a nonclassical reaction-diffusion equation with critical nonlinearity, a time-dependent force with exponential growth and delayed force term, where the delay term can be entrained by a ...
Hafidha Harraga, Mustapha Yebdri
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Continuity of selected pullback attractors [PDF]

Partial Differential Equations and Applications, 2021
In this work we obtain theoretical results on continuity of selected pullback attractors and we apply them to reaction diffusion equations with dynamical boundary ...
Rodrigo A. Samprogna, Jacson Simsen
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Existence and regularity of pullback attractors for a 3D non-autonomous Navier–Stokes–Voigt model with finite delay

Electronic Journal of Qualitative Theory of Differential Equations
In this manuscript previous results [Nonlinearity 25(2012), 905–930] are extended to a non-autonomous 3D Navier–Stokes–Voigt model in which a forcing term contains memory effects.
Julia García-Luengo, Pedro Marín-Rubio
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