Results 231 to 240 of about 754,834 (272)

Pullback attractors for closed cocycles

Nonlinear Analysis: Theory, Methods & Applications, 2010
Abstract In this article, using a result of Pata and Zelik (2007) [45] , we derive a general result on the existence of pullback attractors for closed cocycles acting on a Banach space, where the strong continuity is replaced by a much weaker requirement that the cocycle be a closed map.
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On the continuity of pullback attractors for evolution processes

Nonlinear Analysis: Theory, Methods & Applications, 2009
In this paper we give general results on the continuity of pullback attractors for nonlinear evolution processes. We then revisit results of [D. Li, P.E. Kloeden, Equi-attraction and the continuous dependence of pullback attractors on parameters, Stoch. Dyn.
Alexandre N. Carvalho, José A. Langa, James C. Robinson   +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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Pullback Attractors and Statistical Solutions

2016
This chapter is devoted to constructions of invariant measures and statistical solutions for non-autonomous Navier–Stokes equations in bounded and certain unbounded domains in \(\mathbb{R}^{2}\).After introducing some basic notions and results concerning attractors in the context of the Navier–Stokes equations, we construct the family of probability ...
Grzegorz Łukaszewicz, Piotr Kalita
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Stochastic Synchronization of Random Pullback Attractors

2020
In this and in the next chapter we deal with the synchronization of random dynamical systems (RDS). The concept of RDS (see Arnold [4] and the literature cited therein) covers the most important families of dynamical systems with randomness, including random and stochastic ordinary and partial differential equations and random difference equations ...
Björn Schmalfuß, Igor Chueshov
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Pullback Attractors for NonAutonomous Dynamical Systems

2013
We study a nonautonomous reaction-diffusion equation with zero Dirichlet boundary condition, in an unbounded domain containing a nonautonomous forcing term taking values in the space H −1, and with a continuous nonlinearity which does not ensure uniqueness of solution. Using results of the theory of set-valued nonautonomous (pullback) dynamical systems,
José Real, José Valero, María Anguiano, Tomás Caraballo   +3 more
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Pullback attractor for a class of non-autonomous lattice differential equations with delays

Journal of Mathematical Analysis and Applications, 2022
J. Pereira
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Pullback attractors in nonautonomous difference equations

Journal of Difference Equations and Applications, 2000
Nonautonomous difference equations are formulated as cocycles which generalize semigroups corresponding to autonomous difference equations. Pullback attractors are the appropriate generalization of autonomous attractors to cocycles. The existence of a pullback attractor follows when the difference equation cocycle has a pullback absorbing set.
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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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Backward Controller of a Pullback Attractor for Delay Benjamin-Bona-Mahony Equations

Journal of dynamical and control systems, 2020
Qiangheng Zhang, Yangrong Li
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