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Artículo
A characterization result for the existence of a two-phase material minimizing the first eigenvalue
(Elsevier, 2016-09-19)
Given two isotropic homogeneous materials represented by two constants 0 <α< | |, we consider here the problem consisting in finding a mixture of these materials αχω + β(1 − χω), ω ⊂ RN measurable, with |ω| ≤ κ, such that ...
Artículo
Type IV pili interactions promote intercellular association and moderate swarming of Pseudomonas aeruginosa
(National Academy of Sciences, 2014-12-16)
Pseudomonas aeruginosa is a ubiquitous bacterium that survives in many environments, including as an acute and chronic pathogen in humans. Substantial evidence shows that P. aeruginosa behavior is affected by its motility, ...
Artículo
Error analysis of a subgrid eddy viscosity multi-scale discretization of the Navier-Stokes equations
(Sociedad Española de Matemática Aplicada, 2012-08-14)
We propose a finite element discretization of the Navier–Stokes equations that relies on the variational multi-scale approach together with the addition of a Smagorinsky type viscosity, in order to take into account ...
Artículo
Recent developments in dynamical systems: three perspectives
(2010)
This paper aims to an present account of some problems considered in the past years in Dynamical Systems, new research directions and also provide some open problems.
Artículo
Field-design optimization with triangular heliostat pods
(American Institute of Physics, 2016-05)
In this paper the optimization of a heliostat field with triangular heliostat pods is addressed. The use of structures which allow the combination of several heliostats into a common pod system aims to reduce the high ...
Artículo
Pullback attractor for a non-linear evolution equation in elasticity
(2014)
We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld of phase transitions and elasticity theory. The existence of several families of bounded absorbing ...
Artículo
The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model
(Sociedad Española de Matemática Aplicada, 2010)
In this paper we study in detail the pullback and forwards attractions to non-autonomous competition Lotka-Volterra system. In particular, under some conditions on the parameters, we prove the existence of a unique ...
Artículo
Analysis of a coupled fluid-structure model with applications to hemodynamics
(Society for Industrial and Applied Mathematics, 2016)
We propose and analyze a simplified fluid-structure coupled model for flows with compliant walls. As in [F. Nobile and C. Vergara, SIAM J. Sci. Comput., 30 (2008), pp. 731-763], the wall reaction to the fluid is modeled ...
Artículo
Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution
(American Institute of Mathematical Sciences, 2017-07)
In this paper, the existence of solution for a p-Laplacian parabolic equation with nonlocal diffusion is established. To do this, we make use of a change of variable which transforms the original problem into a nonlocal ...
Artículo
Numerical methods for solving the Cahn-Hilliard equation and its applicability to related Energy-based models
(Springer, 2015-04)
In this paper, we review some numerical methods presented in the literature in the last years to approximate the Cahn-Hilliard equation. Our aim is to compare the main properties of each one of the approaches to try to ...