Results 191 to 200 of about 783,150 (225)

Pullback Exponential Attractors for Nonautonomous Reaction–Diffusion Equations

International Journal of Bifurcation and Chaos, 2015
This paper presents a necessary and sufficient condition to prove the existence of the pullback exponential attractor. The asymptotic a priori estimate method is used to produce an abstract result on the existence of the pullback exponential attractor in a strong space without regularity. The established results are illustrated by applying them to the
Yan, Xingjie, Qi, Wei
openaire   +2 more sources

Stochastic Synchronization of Random Pullback Attractors

2020
In this and in the next chapter we deal with the synchronization of random dynamical systems (RDS). The concept of RDS (see Arnold [4] and the literature cited therein) covers the most important families of dynamical systems with randomness, including random and stochastic ordinary and partial differential equations and random difference equations ...
Igor Chueshov, Björn Schmalfuß
openaire   +1 more source

Pullback Exponential Attractors for Non-autonomous Lattice Systems

Journal of Dynamics and Differential Equations, 2012
The authors first present some sufficient conditions for the existence and the construction of a pullback exponential attractor for the continuous process (non-autonomous dynamical system) on Banach spaces and weighted spaces of infinite sequences. Then they apply the results to study the existence of pullback exponential attractors for first-order non-
Zhou, Shengfan, Han, Xiaoying
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Discretisation of a Uniform Pullback Attractor

2017
Pullback and forward attractors for skew product flows are introduced, then the implicit Euler numerical scheme is applied to obtain a discrete time skew product flow. Existence of a numerical attractor for this discrete time skew product flow is established for sufficiently small step size.
Xiaoying Han, Peter Kloeden
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Pullback Attractors for NonAutonomous Dynamical Systems

2013
We study a nonautonomous reaction-diffusion equation with zero Dirichlet boundary condition, in an unbounded domain containing a nonautonomous forcing term taking values in the space H −1, and with a continuous nonlinearity which does not ensure uniqueness of solution. Using results of the theory of set-valued nonautonomous (pullback) dynamical systems,
María Anguiano, Tomás Caraballo, José Real, José Valero   +3 more
openaire   +1 more source

Bi-spatial pullback random attractors of stochastic ϱ-Navier–Stokes equations: Existence, regularity and finite fractal dimension

Journal of Mathematics and Physics
This paper is concerned with the existence, regularity as well as finite fractal dimension of pullback random attractors of a wide class of non-autonomous stochastic ϱ-Navier-Stokes equations driven by additive noise.
Yunshun Wu, Da Tien Nguyen, Hailang Bai
semanticscholar   +1 more source

Pullback measure attractors for stochastic p-Laplacian parabolic equations on thin domains

Proceedings of the Royal Society of Edinburgh: Section A Mathematics
We investigate the pullback measure attractors for non-autonomous stochastic p-Laplacian equations driven by nonlinear noise on thin domains. The concept of complete orbits for such systems is presented to establish the structures of pullback measure ...
Zhehuan Pu
semanticscholar   +1 more source

Pullback attractors in nonautonomous difference equations

Journal of Difference Equations and Applications, 2000
Nonautonomous difference equations are formulated as cocycles which generalize semigroups corresponding to autonomous difference equations. Pullback attractors are the appropriate generalization of autonomous attractors to cocycles. The existence of a pullback attractor follows when the difference equation cocycle has a pullback absorbing set.
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Stability of regular pullback attractors for non-autonomous dynamical systems: theoretical results and applications

Journal of evolution equations (Printed ed.), 2023
Qiangheng Zhang
semanticscholar   +1 more source

Bi-spatial Pullback Attractors of Non-autonomous p-Laplacian Equations on Unbounded Thin Domains

Applied Mathematics and Optimization, 2023
Fuzhi Li, M. Freitas, Jiali Yu
semanticscholar   +1 more source