Results 161 to 170 of about 2,218 (199)

Limitations of pullback attractors for processes

Journal of Difference Equations and Applications, 2012
Pullback convergence has been investigated in numerous papers as an appropriate attraction concept for nonautonomous problems. However, in this paper, it is illustrated through some simple examples that pullback attractors do not give a complete picture of asymptotic behaviour when the nonautonomous dynamical systems that they generate are formulated ...
Peter E. Kloeden, Christian Pötzsche, Martin Rasmussen   +2 more
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Local equi-attraction of pullback attractor sections

Journal of Mathematical Analysis and Applications, 2021
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Li, Fuzhi, Xin, Jie, Cui, Hongyong, Kloeden, Peter E.   +3 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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Pullback trajectory attractor for nonautonomous wave equations

Communications in Nonlinear Science and Numerical Simulation, 2023
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Yan, Xingjie, Yang, Rong
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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, José A. Langa, James C. Robinson   +2 more
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Pullback attractors for closed cocycles

Nonlinear Analysis: Theory, Methods & Applications, 2010
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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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Pullback Exponential Attractors for Nonautonomous Reaction–Diffusion Equations

International Journal of Bifurcation and Chaos, 2015
This paper presents a necessary and sufficient condition to prove the existence of the pullback exponential attractor. The asymptotic a priori estimate method is used to produce an abstract result on the existence of the pullback exponential attractor in a strong space without regularity. The established results are illustrated by applying them to the
Yan, Xingjie, Qi, Wei
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