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Existence of pullback attractors for the coupled suspension bridge equations
, 2011 Qiaozhen Ma, Binli Wang
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Pullback attractors for a class of semilinear nonclassical diffusion equations with delay
, 2016 Hafidha Harraga, Mustapha Yebdri
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Pullback Attractors of the Bingham Model
Дифференциальные уравнения, 2023Based 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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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 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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Limitations of pullback attractors for processes
Journal of Difference Equations and Applications, 2012Pullback 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 +2 more
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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 +2 more
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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 +2 more
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Forward and pullback attraction on pullback attractors
SeMA Journal, 2010Pullback 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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