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Artículo
Homogenization of Dirichlet parabolic problems for coefficients and open sets simultaneously variable and applications to optimal design
(Elsevier, 2006-07-15)
In a previous paper, we studied the homogenization of a sequence of parabolic linear Dirichlet problems, when the coefficients and the domains vary arbitrarily. Here, we improve the convergence result given in this paper ...
Artículo
Conditional stability and convergence of a fully discrete scheme for three-dimensional Navier–Stokes equations with mass diffusion
(Society for Industrial and Applied Mathematics, 2008)
We construct a fully discrete numerical scheme for three-dimensional incompressible fluids with mass diffusion (in density-velocity-pressure formulation), also called the Kazhikhov–Smagulov model. We will prove conditional ...
Artículo
Existence of weak-renormalized solution for a nonlinear system
(Universidad Complutense de Madrid, 2002)
We prove an existence result for a coupled system of the reactiondiffusion kind. The fact that no growth condition is assumed on some nonlinear terms motivates the search of a weak-renormalized solution.
Artículo
Study of an elliptic system arising from angiogenesis with chemotaxis and flux at the boundary
(Elsevier, 2008-06-15)
The main goal of this paper is to study a stationary problem arising from angiogenesis, including terms of chemotaxis and flux at the boundary of the tumor. We give sufficient conditions on terms of the data of the problems ...
Artículo
Método de elementos finitos para la aproximación de un modelo de cristales líquidos nemáticos
(Sociedad Española de Matemática Aplicada, 2009)
En esta charla analizamos la aproximación numérica con elementos finitos en espacio y diferencias finitas en tiempo de un modelo de cristales líquidos nemáticos (de tipo Eriksen-Leslie) y de un modelo penalizado de tipo ...
Artículo
Autonomous and non-autonomous attractors for differential equations with delays
(2005)
The asymptotic behaviour of some types of retarded differential equations, with both variable and distributed delays, is analyzed. In fact, the existence of global attractors is established for different situations: with ...
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
On the singular times of fluids with nonlinear viscosity
(Elsevier, 2001-11-15)
Artículo
Stability and random attractors for a reaction-diffusion equation with multiplicative noise
(2000)
We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of multiplicative white noise (in the sense of Itˆo) stabilizes the stationary solution x 0. We show in addition that this ...
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 ...