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Weak pullback attractors of setvalued processes
Journal of Mathematical Analysis and Applications, 2003 Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for at least one trajectory rather than all trajectories at each starting point.
Caraballo Garrido, Tomás +2 more
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H^2-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains [PDF]
, 2011 We prove some regularity results for the pullback attractors of a non-autonomous 2D Navier–Stokes model in a bounded domain Ω of R2. We establish a general result about (H2(Ω))2∩V-boundedness of invariant sets for the associate evolution process.
García Luengo, Julia María +2 more
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Numerical dynamics of integrodifference equations: Forward dynamics and pullback attractors [PDF]
Journal of Computational Dynamics, 2022 In order to determine the dynamics of nonautonomous equations both their forward and pullback behavior need to be understood. For this reason we provide sufficient criteria for the existence of such attracting invariant sets in a general setting of ...
H. Huynh, P. Kloeden, Christian Potzsche
semanticscholar +1 more source
Entropy increase in switching systems [PDF]
, 2013 The relation between the complexity of a time-switched dynamics and the complexity of its control sequence depends critically on the concept of a non-autonomous pullback attractor.
Amigó +9 more
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Pullback attractors for weak solution to modified Kelvin-Voigt model
Evolution Equations & Control Theory, 2022 The paper is devoted to the investigation of the qualitative dynamics of weak solutions for the modified Kelvin-Voigt model on the base of the theory of pullback attractors for trajectory spaces.
M. Turbin, A. Ustiuzhaninova
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Continuity of pullback and uniform attractors [PDF]
Journal of Differential Equations, 2018 We study the continuity of pullback and uniform attractors for non-autonomous dynamical systems with respect to perturbations of a parameter. Consider a family of dynamical systems parameterised by a complete metric space $ $ such that for each $ \in $ there exists a unique pullback attractor $\mathcal A_ (t)$. Using the theory of Baire category we
Luan T. Hoang +2 more
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Pullback attractors for generalized evolutionary systems
Discrete & Continuous Dynamical Systems - B, 2015 We give an abstract framework for studying nonautonomous PDEs, called a generalized evolutionary system. In this setting, we define the notion of a pullback attractor. Moreover, we show that the pullback attractor, in the weak sense, must always exist. We then study the structure of these attractors and the existence of a strong pullback attractor.
Kavlie, Landon, Cheskidov, Alexey
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Pullback Attractors for Stochastic Young Differential Delay Equations [PDF]
Journal of Dynamics and Differential Equations, 2020 We study the asymptotic dynamics of stochastic Young differential delay equations under the regular assumptions on Lipschitz continuity of the coefficient functions. Our main results show that, if there is a linear part in the drift term which has no delay factor and has eigenvalues of negative real parts, then the generated random dynamical system ...
Cong, N., Luu, H., Hong, P.
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Regularity Results and Exponential Growth for Pullback Attractors of a Non-Autonomous Reaction-Diffusion Model with Dynamical Boundary Conditions [PDF]
, 2014 In this paper, we prove some regularity results for pullback attractors of a non-autonomous reaction–diffusion model with dynamical boundary conditions considered in Anguiano (2011).
Anguiano Moreno, María +2 more
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Strong pullback attractors for a nonclassical diffusion equation
Discrete & Continuous Dynamical Systems - B, 2022 In this paper, we investigate the existence of pullback attractors for a nonclassical diffusion equation with Dirichlet boundary condition in \begin{document}$ H^2(\Omega)\cap H^1_0(\Omega) $\end{document}. First, we prove the existence and uniqueness of
Xiaolei Dong, Yuming Qin
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