Minimality properties of set-valued processes and their pullback attractors [PDF]
, 2014 We discuss the existence of pullback attractors for multivalued dynamical systems on metric spaces. Such attractors are shown to exist without any assumptions in terms of continuity of the solution maps, based only on minimality properties with respect ...
Michele Coti, Piotr Kalita, Zelati
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Existence of pullback attractors for pullback asymptotically compact processes [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2009 This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) i) An autonomous evolution process which is bounded dissipative and asymptotically compact has a global attractor.
Tomás Caraballo +3 more
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Existence and upper semicontinuity of pullback attractors for Kirchhoff wave equations in time-dependent spaces [PDF]
Discrete and Continuous Dynamical Systems. Series AIn this paper, we shall investigate the existence and upper semicontinuity of pullback attractors for non-autonomous Kirchhoff wave equations with a strong damping in the time-dependent space $X_t$.
Bin Yang +3 more
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Weak Pullback Attractors of Non-Autonomous Difference Inclusions [PDF]
Journal of Difference Equations and Applications, 2003 Weak pullback attractors are defined for non-autonomous difference inclusions and their existence and upper semi continuous convergence under perturbation is established.
Kloeden, Peter E., Marín Rubio, Pedro
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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
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Pullback attractors for a singularly nonautonomous plate equation [PDF]
Electronic Journal of Differential Equations, 2010 We consider the family of singularly nonautonomous plate equation with structural damping \[ u_{tt} + a(t,x)u_{t} + (- \Delta) u_{t} + (-\Delta)^{2} u + \lambda u = f(u), \] in a bounded domain $\Omega \subset \R^n$, with Navier boundary conditions. When
Karina Schiabel-silva +4 more
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Pullback attractors for non-autonomous Bresse systems
Electronic Journal of Differential Equations, 2022 This article concerns the asymptotic behavior of solutions of non-autonomous Bresse systems. We establish the existence of pullback attractor and upper semicontinuity of attractors as a non-autonomous perturbations tend to zero.
R. Teles
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Upper semicontinuity of pullback attractors for the 3D nonautonomous Benjamin-Bona-Mahony equations. [PDF]
ScientificWorldJournal, 2014 Yang X, Wang X, Li J, Zhang L.
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Convergences of asymptotically autonomous pullback attractors towards semigroup attractors
Discrete & Continuous Dynamical Systems - B, 2018 For pullback attractors of asymptotically autonomous dynamical systems we study the convergences of their components towards the global attractors of the limiting semigroups. We use some conditions of uniform boundedness of pullback attractors, instead of uniform compactness conditions used in the literature.
Hongyong Cui
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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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