Results 131 to 140 of about 206 (175)

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 ...
James Robinson, JOSÉ A Langa, Alexandre Carvalho   +2 more
exaly   +3 more sources

Pullback Attractors of the Bingham Model

Дифференциальные уравнения, 2023
Based on the theory of trajectory pullback attractors, we study the qualitative behavior of weak solutions for the Bingham model with periodic conditions in the space variables. For the model under consideration, a family of trajectory spaces is introduced and the existence of pullback attractors is proved.
Zvyagin, V. G., Ustiuzhaninova, A. S.
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A selected pullback attractor

Journal of Mathematical Analysis and Applications, 2018
The paper is devoted to the study of pullback attractors of multivalued generalized processes. The authors establish conditions of the existence of such attractors. Some applications to nonautonomous problems with boundary conditions are given.
Samprogna, Rodrigo, Simsen, Jacson
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The pullback attractor

2012
The global attractor, whose well established definition we recall below, is an object that captures the asymptotic behaviour of autonomous systems. The aim of this chapter is to introduce the ‘pullback attractor’, which seems to be the correct generalisation of this concept for use with non-autonomous processes.
Alexandre N. Carvalho, José A. Langa, James C. Robinson   +2 more
openaire   +1 more source

Pullback trajectory attractor for nonautonomous wave equations

Communications in Nonlinear Science and Numerical Simulation, 2023
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Xingjie Yan, Rong Yang
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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
openaire   +1 more source

Forward and pullback attraction on pullback attractors

SeMA Journal, 2010
Pullback attractors are important elements to study the asymptotic behaviour for nonautonomous PDEs because they copy the pullback dynamic of the system inside them. Although pullback and forward dynamic may not be related, there exist some cases when the trajectories converge forward in time to the pullback attractor.
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Pullback trajectory attractors

Evolution Equations and Control Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samprogna, Rodrigo Antonio, Simsen, Jacson   +1 more
openaire   +1 more source

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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Pullback-Attractors for the Modified Kelvin–Voigt Model

Russian Mathematics, 2021
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openaire   +2 more sources