Buscar
Mostrando ítems 31-40 de 90
Artículo
A review of basic theoretical results concerning the Navier-Stokes and other similar equations
(Sociedad Española de Matemática Aplicada, 2005-06)
These notes are devoted to provide an introductory approach to the Navier-Stokes and some other related equations. Most concepts and arguments recalled below are very general and we believe that this presentation can ...
Artículo
Null controllability of linear heat and wave equations with nonlocal spatial terms
(Society for Industrial and Applied Mathematics, 2016)
In this paper, we study the null controllability of linear heat and wave equations with spatial nonlocal integral terms. Under some analyticity assumptions on the corresponding kernel, we show that the equations are ...
Artículo
Exact controllability to the trajectories of the one-phase Stefan problem
(Elsevier, 2023-08-11)
This paper deals with the boundary exact controllability to the trajectories of the one-phase Stefan problem in one spatial dimension. This is a free-boundary problem that models solidification and melting processes. We ...
Artículo
Las matemáticas del control
(Consejo Superior de Investigaciones Científicas (CSIC), 2007)
In this article we discuss some issues related with Control Theory addressing its origin, main motivations and historical evolution. We describe some of the fundamental mathematical ingredients of the theory, and some of ...
Artículo
Controls insensitizing the observation of a quasi-geostrophic ocean model
(Society for Industrial and Applied Mathematics, 2005)
We consider a linear quasi-geostrophic ocean model with partially known initial conditions. We search for controls that make the observation locally insensitive to the perturbations of the initial data. Their existence is ...
Artículo
Effet de la rugosité sur un fluide laminaire avec conditions de Fourier
(Elsevier, 2000-08)
On étudie l'effet de la rugosité d'une paroi sur l'écoulement d'un fluide gouverné par les équations de Stokes avec des conditions aux limites de Fourier. On calcule l'écoulement limite et on donne des estimations, en ...
Artículo
Controlling linear and semilinear systems formed by one elliptic and two parabolic PDEs with one scalar control
(EDP Sciences, 2016)
In this paper, we prove controllability results for some linear and semilinear systems where we find two parabolic PDEs and one elliptic PDE and we act through one locally supported in space scalar control. The arguments ...
Artículo
Métodos iterativos de resolución de algunos problemas de frontera libre en mecánica de fluidos
(Universitat Politècnica de Catalunya, 1985)
Presentamos varios métodos iterativos para la búsqueda de puntos críticos de una clase particular de funcionales localmente lipschitzianos no diferenciables. Los resultados de convergencia también prueban la existencia de ...
Artículo
Weak-renormalized solutions for a system that models non-isothermal solidification
(Sociedad Española de Matemática Aplicada, 2012-07)
The aim of this paper is to prove the existence of weak-renormalized solutions to a system of the Navier-Stokes-Boussinesq kind. This system may be regarded as a modified version of the non-isothermal solidification problem ...
Artículo
Uniqueness and partial identification in a geometric inverse problem for the Boussinesq system
(Elsevier, 2006-05-01)
We analyze the inverse problem of the identification of a rigid body immersed in a fluid governed by the stationary Boussinesq system. First, we establish a uniqueness result. Then, we present a new method for the ...