Results 11 to 20 of about 206 (175)

Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations [PDF]

The Scientific World Journal, 2014
We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. Under some regular assumptions, we can prove the pullback attractors 𝒜ε(t) of equation ut-Δut-
Xinguang Yang, Xiaosong Wang, Juntao Li, Lingrui Zhang   +3 more
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The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System [PDF]

The Scientific World Journal, 2016
First, for a process U(t,τ)∣t≥τ, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets M(t)∣t≤T, for any T∈R, satisfying the following: (i) M(t) is compact, (ii) M(t) is positively invariant, that is, U(t,
Yongjun Li, Xiaona Wei, Yanhong Zhang
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Pullback Attractors for Nonclassical Diffusion Equations in Noncylindrical Domains [PDF]

International Journal of Mathematics and Mathematical Sciences, 2012
The existence and uniqueness of a variational solution are proved for the following nonautonomous nonclassical diffusion equation 𝑢𝑡−𝜀Δ𝑢𝑡−Δ𝑢+𝑓(𝑢)=𝑔(𝑥,𝑡),𝜀∈(0,1], in a noncylindrical domain with homogeneous Dirichlet boundary conditions, under the ...
Cung The Anh, Nguyen Duong Toan
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Continuity of selected pullback attractors [PDF]

Partial Differential Equations and Applications, 2021
In this work we obtain theoretical results on continuity of selected pullback attractors and we apply them to reaction diffusion equations with dynamical boundary ...
Rodrigo A. Samprogna, Jacson Simsen
openaire   +3 more sources

Dynamics of Non-Autonomous Stochastic Semi-Linear Degenerate Parabolic Equations with Nonlinear Noise

Mathematics, 2023
In the present paper, we aim to study the long-time behavior of a stochastic semi-linear degenerate parabolic equation on a bounded or unbounded domain and driven by a nonlinear noise.
Xin Liu, Yanjiao Li
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Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$

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
doaj   +1 more source

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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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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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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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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