Results 41 to 50 of about 503 (210)
Pullback attractors for generalized evolutionary systems
Discrete and 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 attractor for a dynamic boundary non-autonomous problem with Infinite delay [PDF]
, 2018 In this work we prove the existence of solution for a p-Laplacian non-autonomous problem with dynamic boundary and infinite delay. We ensure the existence of pullback attractor for the multivalued process associated to the non-autonomous problem we are ...
Samprogna, Rodrigo Antonio +1 more
core +1 more source
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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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 $Λ$ such that for each $λ\inΛ$ there exists a unique pullback attractor $\mathcal A_λ(t)$.
Luan T. Hoang +2 more
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Bulletin of Mathematical Sciences, 2021 This paper deals with the asymptotic behavior of solutions to non-autonomous, fractional, stochastic p-Laplacian equations driven by additive white noise and random terms defined on the unbounded domain ℝN.
Renhai Wang, Bixiang Wang
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Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations
Discrete Dynamics in Nature and Society, 2018 We consider the backwards topological property of pullback attractors for the nonautonomous MHD equations. Under some backwards assumptions of the nonautonomous force, it is shown that the theoretical existence result for such an attractor is derived ...
Jiali Yu, Wenhuo Su, Dongmei Xu
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On the Dynamics of Nonautonomous Parabolic Systems Involving the Grushin Operators
International Journal of Mathematics and Mathematical Sciences, 2011 We study the long-time behavior of solutions to nonautonomous semilinear parabolic systems involving the Grushin operators in bounded domains. We prove the existence of a pullback D-attractor in (L2(Ω))m for the corresponding process in ...
Anh Cung The, Toi Vu Manh
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The Pullback Attractors for the Nonautonomous Camassa‐Holm Equations [PDF]
Mathematical Problems in Engineering, 2009 We consider the pullback attractors for the three‐dimensional nonautonomous Camassa‐Holm equations in the periodic box Ω = [0, L] 3. Assuming , which is translation bounded, the existence of the pullback attractor for the three‐dimensional nonautonomous Camassa‐Holm system is proved in D(A1/2) and D(A).
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Multifactorial Screening for Fine‐Scale Selection of CCS Industrial Clusters and Hubs in Brazil
Greenhouse Gases: Science and Technology, EarlyView.ABSTRACT As Brazil moves toward implementing its decarbonization commitments, carbon capture and storage (CCS) hubs are emerging as a key pathway for large‐scale CO2 abatement in hard‐to‐abate sectors. This paper presents a multifactorial, data‐driven framework to screen and prioritize potential CCS industrial clusters and hubs across Brazilian regions,
Gustavo P. Oliveira +5 more
wiley +1 more source
Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise
Journal of Function Spaces, 2018 In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained.
Xiaoyao Jia, Xiaoquan Ding
doaj +1 more source