Results 31 to 40 of about 2,716 (225)
Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness [PDF]
, 2015 In this paper, we consider a non-autonomous nonlocal reactiondiffusion equation with a small perturbation in the nonlocal diffusion term and the non-autonomous force.
Caraballo Garrido, Tomás +2 more
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AIMS Mathematics, 2022 In this article, we investigate the Wong-Zakai approximations of a class of second order non-autonomous stochastic lattice systems with additive white noise.
Xintao Li
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Pullback exponential attractors
Discrete & Continuous Dynamical Systems - A, 2010 In this work, we show how to construct a pullback exponential attractor associated with an infinite dimensional dynamical system, i.e., a family of time dependent compact sets, with finite fractal dimension, which are positively invariant and exponentially attract in the pullback sense every bounded set of the phase space.
José A. Langa +2 more
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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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Robustness of time-dependent attractors in H1-norm for nonlocal problems [PDF]
, 2018 In this paper, the existence of regular pullback attractors as well as their upper semicontinuous behaviour in H1-norm are analysed for a parameterized family of non-autonomous nonlocal reaction-diffusion equations without uniqueness, improving previous ...
Caraballo Garrido, Tomás +2 more
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Random attractors of the stochastic extended Brusselator system with a multiplicative noise
AIMS Mathematics, 2020 In this paper, we are devoted to study asymptotic dynamics of the stochastic extended Brusselator system with a multiplicative noise. The stochastic extended Brusselator system is composed of three pairs of symmetrical coupling components.
Chunting Ji, Hui Liu, Jie Xin
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Weak pullback attractors of setvalued processes
Journal of Mathematical Analysis and Applications, 2003 Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for at least one trajectory rather than all trajectories at each starting point.
Caraballo Garrido, Tomás +2 more
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Weak Pullback Attractors of Non-Autonomous Difference Inclusions [PDF]
, 2003 Weak pullback attractors are defined for non-autonomous difference inclusions and their existence and upper semi continuous convergence under perturbation is established.
Kloeden, Peter E., Marín Rubio, Pedro
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H^2-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains [PDF]
, 2011 We prove some regularity results for the pullback attractors of a non-autonomous 2D Navier–Stokes model in a bounded domain Ω of R2. We establish a general result about (H2(Ω))2∩V-boundedness of invariant sets for the associate evolution process.
García Luengo, Julia María +2 more
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Pullback attractors for generalized evolutionary systems
Discrete & Continuous Dynamical Systems - B, 2015 We give an abstract framework for studying nonautonomous PDEs, called a generalized evolutionary system. In this setting, we define the notion of a pullback attractor. Moreover, we show that the pullback attractor, in the weak sense, must always exist. We then study the structure of these attractors and the existence of a strong pullback attractor.
Kavlie, Landon, Cheskidov, Alexey
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