Results 221 to 230 of about 754,834 (272)
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Journal of Mathematical Analysis and Applications, 2018
Abstract We introduce a new class of multivalued processes generated by generalized processes and a new concept of pullback attractor, named a selected pullback attractor, and we establish suitable conditions for the existence of such a selected pullback attractor.
R. Samprogna, J. Simsen
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Abstract We introduce a new class of multivalued processes generated by generalized processes and a new concept of pullback attractor, named a selected pullback attractor, and we establish suitable conditions for the existence of such a selected pullback attractor.
R. Samprogna, J. Simsen
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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.
V. G. Zvyagin, A. S. Ustiuzhaninova
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Discretisation of a Uniform Pullback Attractor
, 2017Pullback 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, P. Kloeden
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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 ...
Christian Pötzsche +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.
José A. Langa +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.
José A. Langa +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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Pullback attractor of a three dimensional globally modified Cahn–Hilliard-Navier–Stokes model
, 2018The existence and final fractal dimension of a pullback attractor in the space for a three dimensional system of a non-autonomous globally modified Cahn–Hilliard-Navier–Stokes model on a bounded do...
T. T. Medjo
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Pullback-Attractors for the Modified Kelvin–Voigt Model
Russian Mathematics, 2021We study the qualitative dynamics of weak solutions for the modified Kelvin–Voigt model based on the theory of pullback-attractors of trajectory spaces. First, for the studied model, an auxiliary problem is considered, its solvability in the weak sense is proved, and solution estimates are established.
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Glaciation cycle models and their pullback attractors
2021<p><span>The Pleistocene climate was dominated by alternating retreat and regrowth of massive ice sheets accompanied by large variations in the global mean temperature and sea level. Partial agreement between the power spectra of global ice volume proxies and high-latitude summer insolation provides evidence that quasi ...
Keno Riechers +3 more
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Existence results for pullback attractors
2012In 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 +2 more
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