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Artículo
Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
(2013)
We show that the stochastic flow generated by the 2-dimensional Stochastic Navier-Stokes equations with rough noise on a Poincar´e-like domain has a unique random attractor. One of the technical problems associated with ...
Artículo
Non-autonomous morse-decomposition and Lyapunov functions for gradient-like processes
(2013)
We define (time dependent) Morse-decompositions for non-autonomous evolution processes (non-autonomous dynamical systems) and prove that a non-autonomous gradient-like evolution process possesses a Morsedecomposition on ...
Artículo
Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay
(2013)
A nonclassical nonautonomous diffusion equation with delay is analyzed. First, we prove the existence and uniqueness of solutions by using the Galerkin approximations and the energy method. Next, we prove the existence and ...
Artículo
On the Structure of the Global Attractor for Infinite-Dimensional Non-Autonomous Dynamical Systems with Weak Convergence
(2013)
The aim of this paper is to describe the structure of global attractors for infinite-dimensional non-autonomous dynamical systems with recurrent coefficients. We consider a special class of this type of systems (the so–called ...
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
Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion
(2013)
This paper deals with the existence and uniqueness of mild solutions to neutral stochastic delay functional integro-di erential equations perturbed by a fractional Brownian motion BH, with Hurst parameter H 2 ( 1 2; 1). ...
Artículo
Skew Product Semiflows and Morse Decomposition
(2013)
This paper is devoted to the investigation of the dynamics of non-autonomous differential equations. The description of the asymptotic dynamics of non-autonomous equations lies on dynamical structures of some associated ...
Artículo
Attractivity for Neutral Functional Differential Equations
(2013)
We study the long term dynamics of non-autonomous functional di fferential equations. Namely, we establish existence results on pullback attractors for non-linear neutral functional di erential equations with time varying ...
Artículo
Pullback attractors for differential equations with multiple variable delays in Lipschitz nonlinearities
(2013)
We establish the results on the existence of pullback attractors for nonautonomous functional differential equations with multiple delays appearing within nonlinear Lipschitz terms. The results are complementary to ...
Artículo
The three dimensional globally modified Navier-Stokes equations: Recent developments
(2013)
The globally modified Navier-Stokes equations (GMNSE) were introduced by Caraballo, Kloeden & Real in 2006 and have been investigated in a number of papers since then, both for their own sake and as a means of obtaining ...