Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems [PDF]
Journal of Differential Equations, 2012 We study pullback attractors of non-autonomous non-compact dynamical systems generated by differential equations with non-autonomous deterministic as well as stochastic forcing terms.
Bixiang Wang
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Pullback attractors for non-autonomous 2D-Navier–Stokes equations in some unbounded domains [PDF]
Comptes Rendus Mathematique, 2006 In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the existence of a pullback attractor for a non-autonomous dynamical system under the general assumptions of pullback asymptotic ...
Tomás Caraballo, Grzegorz ŁUkaszewicz
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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 attractors for asymptotically compact non-autonomous dynamical systems [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2006 First, we introduce the concept of pullback asymptotically compact non-autonomous dynamical system as an extension of the similar concept in the autonomous framework.
Tomás Caraballo
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Pullback attractor for a nonautonomous parabolic Cahn-Hilliard phase-field system
AIMS Mathematics, 2023 Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results.
Jean De Dieu Mangoubi +2 more
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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
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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 +2 more
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Random pullback attractor of a non-autonomous local modified stochastic Swift–Hohenberg equation with multiplicative noise [PDF]
, 2020 In this paper, we study the existence of the random D-pullback attractor of a non-autonomous local modified stochastic Swift–Hohenberg equation with multiplicative noise in the Stratonovich sense.
Yongjun Li, Hongqing Wu, Tinggang Zhao
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Boundary Value Problems, 2020 The non-autonomous order-2γ parabolic partial differential equation for an epitaxial thin film growth model with dimension d = 3 $d=3$ is investigated by the method of uniform estimates.
Xiaojie Yang, Hui Liu, Chengfeng Sun
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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 +3 more
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