Electronic Journal of Differential Equations, 2015 We study a nonautonomous fourth-order parabolic equation modeling epitaxial thin film growth. It is shown that a pullback attractor of the model exists when the external force has exponential growth.
Ning Duan, Xiaopeng Zhao
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Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains
Abstract and Applied Analysis, 2013 This paper is devoted to a stochastic retarded reaction-diffusion equation on all d-dimensional space with additive white noise. We first show that the stochastic retarded reaction-diffusion equation generates a random dynamical system by transforming ...
Xiaoquan Ding, Jifa Jiang
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Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation
Complexity, 2020 Some dynamics behaviors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with additive white noise are considered. The existence of pullback random attractors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with
Yanfeng Guo, Chunxiao Guo, Yongping Xi
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Synchronization of nonautonomous dynamical systems
Electronic Journal of Differential Equations, 2003 The synchronization of two nonautonomous dynamical systems is considered, where the systems are described in terms of a skew-product formalism, i.
Peter E. Kloeden
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Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays
Abstract and Applied Analysis, 2013 Using a method based on the concept of the Kuratowski measure of the noncompactness of a bounded set as well as some new estimates of the equicontinuity of the solutions, we prove the existence of a unique pullback attractor in higher regularity space ...
Xiaoli Liu, Yejuan Wang
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Focus point on uncertainty quantification of modeling and simulation in physics and related areas: from theoretical to computational techniques. [PDF]
Eur Phys J Plus, 2023 Cortés JC, Caraballo T, Pinto CMA.
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Global analysis and prediction scenario of infectious outbreaks by recurrent dynamic model and machine learning models: A case study on COVID-19. [PDF]
Comput Biol Med, 2023 Rakhshan SA, Nejad MS, Zaj M, Ghane FH.
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Pullback attractor of p-Laplacian equation with time-dependent parameters on the entire space
四川大学学报. 自然科学版, 2020 We consider the long-time behavior of the non-autonomous p-Laplacian equation and prove that the process associated with the equation is asymptotically compact, where the forcing term only satisfies an integral condition.
WANG Yi, MA Qiao-Zhen
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Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions. [PDF]
J Dyn Differ Equ, 2022 Huynh H, Kloeden PE, Pötzsche C.
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Results in Applied MathematicsThis paper investigates the well-posedness and long-time dynamics of a class of fractional non-autonomous beam equations with fractional rotational inertia and structural damping or strong damping.
Penghui Lv, Jingxin Lu, Guoguang Lin
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