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Artículo
Pullback Attractors for Non-Autonomous Reaction-Diffusion Equations with Dynamical Boundary Conditions
(Elsevier, 2011)
In this paper we prove the existence and uniqueness of a weak solution for a non-autonomous reaction–diffusion model with dynamical boundary conditions. After that, a continuous dependence result is established via an ...
Artículo
On The Relation Between Two Different Concepts of Pullback Attractors for Non-Autonomous Dynamical Systems
(Elsevier, 2009)
For an abstract dynamical system, we establish, under minimal assumptions, the existence of D-attractor, i.e. a pullback attractor for a given class D of families of time varying subsets of the phase space. We relate this ...
Artículo
Regularity of pullback attractors and attraction in H1 in arbitrarily large finite intervals for 2D Navier-Stokes equations with infinite delay
(American Institute of Mathematical Sciences, 2014)
In this paper we strengthen some results on the existence and properties of pullback attractors for a non-autonomous 2D Navier-Stokes model with infinite delay. Actually we prove that under suitable assumptions, and thanks ...
Artículo
Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing
(American Institute of Mathematical Sciences, 2014)
This paper treats the existence of pullback attractors for the non-autonomous 2D Navier--Stokes equations in two different spaces, namely L^2 and H^1. The non-autonomous forcing term is taken in L^2_{\rm loc}(\mathbb ...
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
H^2-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains
(Elsevier, 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 ...
Artículo
Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour
(Elsevier, 2012)
In this paper the asymptotic behaviour of the solutions to a non-autonomous 2D-Navier–Stokes model is analyzed when the initial datum belongs to V, for two frameworks: the universe of fixed bounded sets, and also for another ...
Artículo
Regularity Results and Exponential Growth for Pullback Attractors of a Non-Autonomous Reaction-Diffusion Model with Dynamical Boundary Conditions
(Elsevier, 2014)
In this paper, we prove some regularity results for pullback attractors of a non-autonomous reaction–diffusion model with dynamical boundary conditions considered in Anguiano (2011). Under certain assumptions of the nonlinear ...