Results 111 to 120 of about 503 (210)

Pullback attractor for a non-autonomous reaction-diffusion equation in some unbounded domains [PDF]

open access: yes, 2010
The existence of a pullback attractor in L2(Ω) for the following nonautonomous reaction-di usion equation ∂u ∂t − △u = f(u) + h(t), in Ω × (τ, +∞), u = 0, on ∂Ω × (τ, +∞), u(x, τ ) = uτ (x), x ∈ Ω, is proved in this paper, when the domain Ω is not ...
Anguiano Moreno, María
core  

Pullback attractors for non-autonomous Bresse systems

open access: yes, 2022
This article concerns the asymptotic behavior of solutions of non-autonomous Bresse systems. We establish the existence of pullback attractor and upper semicontinuity of attractors as a non-autonomous perturbations tend to zero.
de Sa Teles, Ricardo
core  

On the Dimension of Pullback Attractors in Recurrent Neural Networks

open access: yes
Recurrent neural networks trained via the reservoir computing paradigm have demonstrated remarkable success in learning and reconstructing attractors from chaotic systems, often replicating quantities such as Lyapunov exponents and fractal dimensions.
openaire   +2 more sources

Convergences of asymptotically autonomous pullback attractors towards semigroup attractors

open access: yesDiscrete and Continuous Dynamical Systems - B, 2019
For pullback attractors of asymptotically autonomous dynamical systems we study the convergences of their components towards the global attractors of the limiting semigroups. We use some conditions of uniform boundedness of pullback attractors, instead of uniform compactness conditions used in the literature.
openaire   +3 more sources

Discrete and Continuous Dynamical Systems - Series A / Regularity of pullback random attractors for stochastic FitzHugh-Nagumo system on unbounded domains

open access: yes, 2015
The regularity of the pullback random attractor for a stochastic FitzHugh-Nagumo system on Rn driven by deterministic non-autonomous forcing is proved. More precisely, the pullback random attractor is shown to be compact in H1(Rn)×L2(Rn) and attract all ...
Tang, Quoc Bao
core   +1 more source

NAVIER–STOKES EQUATIONS ON THE β-PLANE [PDF]

open access: yes, 2012
Mathematical analysis has been undertaken for the vorticity formulation of the two dimensional Navier–Stokes equation on the β-plane with periodic boundary conditions. This equation describes the flow of fluid near the equator of the Earth. The long time
Al-Jaboori, Mustafa Ali Hussain   +1 more
core  

Pullback attractors for a strongly damped delay wave equation in ℝn

open access: yes, 2018
In this paper, we prove the existence of a pullback attractor for a strongly damped delay wave equation in [Formula: see text]. We do not assume any Lipschitz condition on the nonlinear term, just a continuity assumption together with growth conditions,
Yizhao Qin, Yejuan Wang, Jingyu Wang
core   +1 more source

Pullback and forward attractors for a 3D Lans-alpha model with delay

open access: yes, 2006
We analyse the asymptotic behaviour of a 3D Lagrangian averaged Navier-Stokes -model (3D LANS) with delays. In fact, we apply the theory of pullback attractors to ensure the existence of a pullback attractor, and at the same time, we also prove the ...
Márquez Durán, Antonio Miguel   +2 more
core   +1 more source

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