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Artículo
Sobre la investigación matemática española y las herramientas de política científica
(Sociedad de Estadística e Investigación Operativa, 2007-10)
Artículo
Null controllability for a parabolic-elliptic coupled system
(Springer, 2013-06)
In this paper, we prove the null controllability of some parabolicelliptic systems. The control is distributed, locally supported in space and appears only in one PDE. The arguments rely on fixed-point reformulation and ...
Artículo
On the boundary controllability of non-scalar parabolic systems
(Elsevier, 2009-07)
This Note is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled one-dimensional linear parabolic equations are considered. We show that, with boundary controls, ...
Artículo
Inclusiones diferenciales, matemática difusa y aplicaciones
(Sociedad Española de Matemática Aplicada, 2003-06)
En este trabajo diremos cómo se pueden modelar ciertos sistemas tomados de la realidad que usan conceptos propios de la Matemática Difusa (conjuntos, multifunciones e inclusiones diferenciales “fuzzy”). Consideraremos ...
Artículo
Numerical controllability of the wave equation through primal methods and Carleman estimates
(EDP Sciences, 2013)
This paper deals with the numerical computation of boundary null controls for the 1D wave equation with a potential. The goal is to compute approximations of controls that drive the solution from a prescribed initial ...
Artículo
On the controllability of the N-dimensional Navier–Stokes and Boussinesq systems with N − 1 scalar controls
(Elsevier, 2005-01-18)
In this Note we present several controllability results for nonlinear systems of the Navier–Stokes and Boussinesq kind. We discuss the existence of particular controls with a small number of degrees of freedom.
Artículo
On the Numerical Controllability of the Two-Dimensional Heat, Stokes and Navier–Stokes Equations
(Springer, 2016-08-16)
The aim of this work is to present some strategies to solve numerically controllability problems for the two-dimensional heat equation, the Stokes equations and the Navier–Stokes equations with Dirichlet boundary conditions. ...
Artículo
Null controllability of the heat equation with boundary Fourier conditions: the linear case
(EDP Sciences, 2006-07)
In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary conditions of the form ∂y ∂n + β y = 0. We consider distributed controls with support in a small ...
Artículo
Some inverse and control problems for fluids
(Université Blaise Pascal de Clermont-Ferrand, 2013)
This paper deals with some inverse and control problems for the Navier-Stokes and related systems. We will focus on some particular aspects that have recently led to interesting (theoretical and numerical) results: geometric ...
Artículo
Aspectos matemáticos de algunos métodos numéricos en mecánica de fluidos: el problema incompresible de Navier-Stokes
(Universitat Politècnica de Catalunya, 1987)
El objetivo de este estudio ha sido la obtención de propiedades de convergencia y estabilidad para dos esquemas numéricos que permiten resolver las ecuaciones incompresibles de Navier-Stokes. Dichos esquemas han sido ...