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Pullback dynamics and robustness for the 3D Navier-Stokes-Voigt equations with memory
Electronic Research Archive, 2023 The tempered pullback dynamics and robustness of the 3D Navier-Stokes-Voigt equations with memory and perturbed external force are considered in this paper.
Keqin Su, Rong Yang
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Boundary Value Problems, 2020 Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, introduced by Wang in (J. Differ. Equ. 253:1544–1583, 2012),
Xiaobin Yao
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Dynamics of plate equations with time delay driven by additive noise in R n $\mathbb{R}^{n}$
Journal of Inequalities and Applications, 2023 This paper is concerned with the asymptotic behavior of solutions for plate equations with delay blurred by additive noise in R n $\mathbb{R}^{n}$ . First, we obtain the uniform compactness of pullback random attractors of the problem, then derive the ...
Xiaobin Yao
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Degenerate pullback attractors for the 3D Navier-Stokes equations [PDF]
, 2015 As in our previous paper, the 3D Navier-Stokes equations with a translationally bounded force contain pullback attractors in a weak sense. Moreover, those attractors consist of complete bounded trajectories.
Cheskidov, Alexey, Kavlie, Landon
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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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Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations [PDF]
, 2018 In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion equation is proved. Next, the existence of minimal pullback attractors in the L2 -norm in the frameworks of universes of fixed ...
Caraballo Garrido, Tomás +2 more
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A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics [PDF]
, 2018 The purpose of this paper is to give a characterization of the structure of non-autonomous attractors of the problem $u_t= u_{xx} + \lambda u - \beta(t)u^3$ when the parameter $\lambda > 0$ varies.
Broche, Rita de Cássia D. S. +2 more
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Pullback Attractors for a Nonautonomous Retarded Degenerate Parabolic Equation
Discrete Dynamics in Nature and Society, 2020 This paper is devoted to a nonautonomous retarded degenerate parabolic equation. We first show the existence and uniqueness of a weak solution for the equation by using the standard Galerkin method.
Fahe Miao, Hui Liu, Jie Xin
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Coupled nonautonomous inclusion systems with spatially variable exponents
Electronic Journal of Qualitative Theory of Differential Equations, 2021 A family of nonautonomous coupled inclusions governed by $p(x)$-Laplacian operators with large diffusion is investigated. The existence of solutions and pullback attractors as well as the generation of a generalized process are established.
Peter Kloeden, Jacson Simsen
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Upper semi-continuity of pullback attractors for bipolar fluids with delay
Electronic Research Archive, 2023 We investigate bipolar fluids with delay in a $ 2D $ channel $ \Sigma = \mathbb{R}\times (-K, K) $ for some $ K > 0 $. The channel $ \Sigma $ is divided into a sequence of simply connected, bounded, and smooth sub-domains $ \Sigma_n (n = 1, 2, 3\cdot ...
Guowei Liu, Hao Xu, Caidi Zhao
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