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Pullback trajectory attractors

Evolution Equations and Control Theory
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Samprogna, Rodrigo Antonio   +1 more
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Pullback-Attractors for the Modified Kelvin–Voigt Model

Russian Mathematics, 2021
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PULLBACK ATTRACTORS OF NONAUTONOMOUS SEMIDYNAMICAL SYSTEMS

Stochastics and Dynamics, 2003
A nonautonomous semidynamical system is a skew-product semi-flow consisting of a cocycle mapping on a state space which is driven by a semidynamical system on a base space. It is shown that the driving system can be extended backwards in time on a compact invariant set, such as a global attractor, as a set-valued semidynamical system.
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Robustness of pullback and exponential pullback attractors for thermoelastic plate with p-Laplacian

Journal of Mathematical Physics, 2023
This paper analyses robustness of pullback and exponential pullback attractors for the non-autonomous thermoelastic plate with p-Laplacian under the Coleman–Gurtin heat theory derived recently by Fatori et al. [J. Diff. Equ. 259, 4831–4862 (2015)]. Moreover, the existence of pullback attractors in the natural space energy with finite dimensionality is ...
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Discretisation of a Uniform Pullback Attractor

2017
Pullback and forward attractors for skew product flows are introduced, then the implicit Euler numerical scheme is applied to obtain a discrete time skew product flow. Existence of a numerical attractor for this discrete time skew product flow is established for sufficiently small step size.
Xiaoying Han, Peter Kloeden
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Glaciation cycle models and their pullback attractors

2021
<p><span>The Pleistocene climate was dominated by alternating retreat and regrowth of massive ice sheets accompanied by large variations in the global mean temperature and sea level. Partial agreement between the power spectra of global ice volume proxies and high-latitude summer insolation provides evidence that quasi ...
Keno Riechers   +3 more
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Existence results for pullback attractors

2012
In this chapter we develop the existence theory for pullback attractors in a way that recovers well known results for the global attractors of autonomous systems as a particular case (see, for example, Babin and Vishik 1992; Chepyzhov and Vishik 2002;Cholewa and Dlotko 2000; Chueshov 1999; Hale 1988; Ladyzhenskaya 1991; Robinson 2001; Temam 1988).
Alexandre N. Carvalho   +2 more
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Pullback attractors for closed cocycles

Nonlinear Analysis: Theory, Methods & Applications, 2010
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On the continuity of pullback attractors for evolution processes

Nonlinear Analysis: Theory, Methods & Applications, 2009
The authors provide general results on continuity properties for pullback attractors of nonlinear evolution processes. They revisit earlier results due to \textit{D.\ Li} and \textit{P. E.\ Kloeden} [Stoch.\ Dyn.\ 4, No. 3, 373--384 (2004; Zbl 1059.37015)], which show that, under certain conditions, continuity is equivalent to uniformity of attraction ...
Carvalho, Alexandre N.   +2 more
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Pullback Attractors and Shear Flows

2016
In this chapter we consider the problem of existence and finite dimensionality of the pullback attractor for a class of two-dimensional turbulent boundary driven flows which naturally appear in lubrication theory. We generalize here the results from Chap. 9 to the non-autonomous problem.
Grzegorz Łukaszewicz, Piotr Kalita
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