Results 131 to 140 of about 206 (175)
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Pullback trajectory attractor for nonautonomous wave equations
Communications in Nonlinear Science and Numerical Simulation, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xingjie Yan, Rong Yang
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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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Minimality Properties of Set-Valued Processes and their Pullback Attractors [PDF]
SIAM Journal on Mathematical Analysis, 2015 We discuss the existence of pullback attractors for multivalued dynamical systems on metric spaces. Such attractors are shown to exist without any assumptions in terms of continuity of the solution maps, based only on minimality properties with respect to the notion of pullback attraction. When invariance is required, a very weak closed graph condition
Michele Coti Zelati, Piotr Kalita
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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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On the continuity of pullback attractors for evolution processes
Nonlinear Analysis: Theory, Methods & Applications, 2009The 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 ...
Alexandre N Carvalho +2 more
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Pullback trajectory attractors
Evolution Equations and Control TheoryzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samprogna, Rodrigo Antonio +1 more
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Pullback-Attractors for the Modified Kelvin–Voigt Model
Russian Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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PULLBACK ATTRACTORS OF NONAUTONOMOUS SEMIDYNAMICAL SYSTEMS
Stochastics and Dynamics, 2003A 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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Robustness of pullback and exponential pullback attractors for thermoelastic plate with p-Laplacian
Journal of Mathematical Physics, 2023This paper analyses robustness of pullback and exponential pullback attractors for the non-autonomous thermoelastic plate with p-Laplacian under the Coleman–Gurtin heat theory derived recently by Fatori et al. [J. Diff. Equ. 259, 4831–4862 (2015)]. Moreover, the existence of pullback attractors in the natural space energy with finite dimensionality is ...
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