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Artículo
Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays
(Elsevier, 2020-12)
This article investigates the three-dimensional globally modified Navier-Stokes equations with unbounded variable delays. Firstly, we prove the global well-posedness of the solutions, and give the existence of the pullback ...
Artículo
Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains
(2006)
In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the existence of a pullback attractor for a non-autonomous dynamical system under the general assumptions ...
Artículo
Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
(2013)
The main aim of this paper is to analyse the asymptotic behaviour of a non-autonomous integrodifferential parabolic equation of diffusion type with a memory term, expressed by convolution integrals involving infinite ...
Artículo
Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
(2010)
This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) i) An autonomous ...
Artículo
Pullback attractor for a dynamic boundary non-autonomous problem with Infinite delay
(American Institute of Mathematical Sciences, 2018)
In this work we prove the existence of solution for a p-Laplacian non-autonomous problem with dynamic boundary and infinite delay. We ensure the existence of pullback attractor for the multivalued process associated to the ...
Artículo
Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term
(Springer, 2020)
In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term of Heaviside type. Using this principle, we study the structure of the global attractor in both the ...
Artículo
Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations
(Cambridge University Press, 2018-10)
In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion equation is proved. Next, the existence of minimal pullback attractors in the L2 -norm in the ...
Artículo
Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness
(Springer, 2015-06-17)
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. Under the assumptions imposed on the viscosity function, ...
Artículo
Dynamics of Nonautomous Impulsive Multivalued Processes
(Springer, 2023-02-10)
In this paper we study the asymptotic behaviour of multivalued processes which are under the influence of impulsive action. We provide conditions to guarantee the existence of a pullback attractor and we illustrate the ...
Artículo
Robustness of time-dependent attractors in H1-norm for nonlocal problems
(American Institute of Mathematical Sciences, 2018-05)
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 ...