Results 181 to 190 of about 783,150 (225)

Sufficient and necessary criteria for backward asymptotic autonomy of pullback attractors with applications to retarded sine-Gordon lattice systems

Journal of Mathematics and Physics
In this paper, we investigate the backward asymptotic autonomy of pullback attractors for asymptotically autonomous processes. Namely, time-components of the pullback attractors semi-converge to the global attractors of the corresponding limiting ...
Shuang Yang, T. Caraballo, Qiangheng Zhang   +2 more
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Pullback-Attractors for the Modified Kelvin–Voigt Model

Russian Mathematics, 2021
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Existence and regularity of pullback attractors for a 3D non-autonomous Navier–Stokes–Voigt model with finite delay

Electronic Journal of Qualitative Theory of Differential Equations
In this manuscript previous results [Nonlinearity 25(2012), 905–930] are extended to a non-autonomous 3D Navier–Stokes–Voigt model in which a forcing term contains memory effects.
Julia García-Luengo, P. Marín-Rubio
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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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Residually continuous pullback attractors for stochastic discrete plate equations

Mathematical methods in the applied sciences
For a nonautonomous stochastic discrete plate equation driven by multiplicative noise, we prove the unique existence of a pullback random attractor, which is a family of pullback‐attracting random compact sets parameterized by time and samples.
Kaili Han, Yangrong Li, Huan Xia
semanticscholar   +1 more source

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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