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Artículo
Existence and uniqueness of solutions for delay stochastic evolution equations of second order in time
(World Scientific Publishing, 2003-06)
We prove some results on the existence and uniqueness of solutions for a class of evolution equations of second order in time, containing some hereditary characteristics. Our theory is developed from a variational point ...
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
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 ...
Tesis Doctoral
Artículo
Artículo
Asymptotic Behaviour of Solutions for a Three Dimensional System of Globally Modified Navier-Stokes Equations with a Locally Lipschitz Delay Term
(Elsevier, 2013)
Existence, uniqueness, and continuity properties of solutions for a globally modified version of Navier–Stokes equations with finite delay terms within a locally Lipschitz operator are established. Moreover, we also analyze ...
Artículo
Attractors for 2D-Navier-Stokes Equations with Delays on Some Unbounded Domains
(Elsevier, 2007)
We prove the existence of tempered and nontempered pullback attractors for two dimensional Navier–Stokes equations on unbounded domains satisfying Poincaré inequality, for the case in which a forcing term involving memory ...
Artículo
Pullback and forward attractors for a 3D Lans-alpha model with delay
(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 ...
Artículo
On the stochastic 3D-Lagrangian averaged Navier-Stokes Alpha-Model with finite delay
(2005)
Existence and uniqueness of solutions for a stochastic version of the 3D-Lagrangian averaged Navier-Stokes (LANS-®) equation in a bounded domain and containing some hereditary characteristics are proved.
Artículo
Pullback Attractors for 2D-Navier-Stokes Equations with Delays In Continuous and Sub-Linear Operators
(American Institute of Mathematical Sciences, 2010)
We obtain a result of existence of solutions to the 2D-Navier-Stokes model with delays, when the forcing term containing the delay is sub-linear and only continuous. As a consequence of the continuity assumption the ...