Results 61 to 70 of about 206 (175)

Random attractors of Kirchhoff-type reaction–diffusion equations without uniqueness driven by nonlinear colored noise

Open Mathematics
In this article, we consider the asymptotic behavior of solutions for the Kirchhoff-type reaction–diffusion equations driven by a nonlinear colored noise defined on unbounded domains. We prove the existence and uniqueness of pullback random attractors by
Zhang Zhang, Yao Xiaobin
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Pullback attractors for non-autonomous reaction–diffusion equation with infinite delays in Cγ,Lr(Ω) $C_{\gamma,L^{r}(\Omega)}$ or Cγ,W1,r(Ω) $C_{\gamma,W^{1,r}(\Omega)}$

Boundary Value Problems, 2018
In this paper, the well-posedness for the non-autonomous reaction–diffusion equation with infinite delays on a bounded domain is established. The existence of pullback attractors for the process in Cγ,Lr(Ω) $C_{\gamma,L^{r}(\Omega)}$ and Cγ,W1,r(Ω) $C_ ...
Yanping Ran, Jing Li
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Pullback attractors of nonautonomous dynamical systems

Discrete and Continuous Dynamical Systems, 2006
We present the necessary and sufficient conditions and a new method to study the existence of pullback attractors of nonautonomous infinite dimensional dynamical systems. For illustrating our method, we apply it to nonautonomous 2D Navier-Stokes systems.
Yejuan Wang, Chengkui Zhong, Shengfan Zhou   +2 more
openaire   +2 more sources

Existence of pullback attractors for the coupled suspension bridge equations

Electronic Journal of Differential Equations, 2011
In this article, we study the existence of pullback D-attractors for the non-autonomous coupled suspension bridge equations with hinged ends and clamped ends, respectively.
Qiaozhen Ma, Binli Wang
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Entropy Increase in Switching Systems

Entropy, 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.
Ángel Giménez, Peter E. Kloeden, José M. Amigó   +2 more
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Pullback and uniform exponential attractors for non-autonomous Oregonator systems

Open Mathematics
We consider the long-time global dynamics of non-autonomous Oregonator systems. This system is a coupled system of three reaction-diffusion equations, that arises from the Belousov-Zhabotinskii reaction.
Liu Na, Yu Yang-Yang
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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.
europepmc   +1 more source

Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions. [PDF]

J Dyn Differ Equ, 2022
Huynh H, Kloeden PE, Pötzsche C.
europepmc   +1 more source

Pullback attractors for fractional lattice systems with delays in weighted space

Open Mathematics
This article deals with the asymptotic behavior of fractional lattice systems with time-varying delays in weighted space. First, we establish some sufficient conditions for the existence and uniqueness of solutions.
Li Xintao, Wang Shengwen
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Periodic random attractors for stochastic Navier-Stokes equations on unbounded domains

Electronic Journal of Differential Equations, 2012
This article concerns the asymptotic behavior of solutions to the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded domains.
Bixiang Wang
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