Data

NameFernández Cara, Enrique
DepartmentEcuaciones Diferenciales y Análisis Num.
Knowledge areaAnálisis Matemático
Professional categoryCatedrático de Universidad
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    104

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  Publications

 

Article
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Optimal Control of Insect Populations

Alburquerque de Araujo, Anderson L.; Boldrini, José Luis; Cabrales, Roberto Carlos; Fernández Cara, Enrique; Oliveira, Milton L. (MDPI, 2021-07-26)
We consider some optimal control problems for systems governed by linear parabolic PDEs with local controls that can move ...
PhD Thesis
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Análisis y control de algunas EDPS no lineales

Fernández Cara, Enrique; Marín Gayte, Irene (2021-01-01)
En este trabajo se presentan varios resultados de tipo teórico y numérico para diversos problemas diferenciales. Comenzamos ...
Final Degree Project
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Problemas de Elasticidad Lineal: Resultados Teóricos y Numéricos Aplicaciones

Fernández Cara, Enrique; Jiménez Jiménez, Miguel Ángel (2020-01-01)
Solid mechanics studies the physical behavior of solids in general, establishing within it a distinction between rigid ...
PhD Thesis
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New methods and results in the optimisation of solar power tower plants

Carrizosa Priego, Emilio José; Fernández Cara, Enrique; Ashley, Thomas Ian (2019-12-03)
Renewable energy technology has seen great advances in recent decades, combined with an ever increasing interest in the ...
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Exact controllability to the trajectories for parabolic PDEs with nonlocal nonlinearities

Fernández Cara, Enrique; Limaco Ferrel, Juan; Nina Huaman, Dany; Núñez Chávez, Miguel R. (Springer, 2019-09-01)
This paper deals with the analysis of the internal control of a parabolic PDE with nonlinear diffusion, nonlocal in space. ...
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Heliostat field cleaning scheduling for Solar Power Tower plants: a heuristic approach

Ashley, Thomas Ian; Carrizosa Priego, Emilio José; Fernández Cara, Enrique (Elsevier, 2019-02-01)
Soiling of heliostat surfaces due to local climate has a direct impact on their optical efficiency and therefore a direct ...
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Continuous optimisation techniques for optimal aiming strategies in solar power tower plants

Ashley, Thomas Ian; Carrizosa Priego, Emilio José; Fernández Cara, Enrique (PERGAMON-ELSEVIER SCIENCE LTD, 2019-01-01)
Optimising the aiming strategy is crucial for Solar Power Tower plants, in order to maximise the energy generated, whilst ...
Presentation
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Optimisation of Aiming Strategies in Solar Tower Power Plants

Ashley, Thomas Ian; Carrizosa Priego, Emilio José; Fernández Cara, Enrique (AIP, 2018-11-08)
Inclement weather effects have a direct impact on the efficiency of a Solar Power Tower plant and have the potential to ...
Final Degree Project
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Modelado, análisis y simulación, numérica de algunos sistemas que describen la evolución de tumores

Fernández Cara, Enrique; Molina Rodríguez, Jesús (2018-06-19)
A raíz de la continua investigación sobre el cáncer, surge toda una serie de nuevas estrategias, técnicas experimentales ...
Final Degree Project
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Resultados teóricos y numéricos para problemas de control gobernados por EDOs y EDPs

Fernández Cara, Enrique; Becerra Tomé, Alberto (2018-06-19)
Es un problema recurrente en Matemáticas, Ciencias Naturales y Ciencias Sociales, la búsqueda de una solución óptima frente ...
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A new proof of the existence of suitable weak solutions and other remarks for the Navier-Stokes equations

Fernández Cara, Enrique; Marín Gayte, Irene (Scientific Research Publishing, 2018-04-01)
We prove that the limits of the semi-discrete and the discrete semi-implicit Euler schemes for the 3D Navier-Stokes equations ...
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An inverse problem in elastography involving Lamé systems

Fernández Cara, Enrique; Maestre Caballero, Faustino (De Gruyter, 2018-02-01)
This paper deals with some inverse problems for the linear elasticity system with origin in elastography: we try to identify ...
Article
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Local null controllability of a 1D Stefan problem

Fernández Cara, Enrique; Hernández, Freddy; Limaco Ferrel, Juan (Springer, 2018-01-01)
The purpose of this article is to give a new proof of a null controllability result for a 1D free-boundary problem of the ...
Article
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Optimisation of aiming strategies in Solar Power Tower plants

Ashley, Thomas Ian; Carrizosa Priego, Emilio José; Fernández Cara, Enrique (PERGAMON-ELSEVIER SCIENCE LTD, 2017-10-15)
The distribution of temperature on a Solar Power Tower (SPT) plant receiver directly affects the lifespan of the structure ...
Master's Final Project
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Análisis y control de problemas de tipo Navier-Stokes

Fernández Cara, Enrique; Marín Gayte, Irene (2017-06-01)
This work is framed within the field of EDPs and Numerical Analysis, aiming to continue the study of the Navier-Stokes ...
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New results on the Stackelberg-Nash exact control of linear parabolic equations

Dias Araruna, Fágner; Fernández Cara, Enrique; Guerrero Rodríguez, Sergio; Cardoso Santos, Mauricio (Elsevier, 2017-06-01)
This paper is concerned with Stackelberg-Nash strategies to control parabolic equations. We have one control, the leader, ...
Article
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An optimization tool to design the field of a solar power tower plant allowing heliostats of different sizes

Carrizosa Priego, Emilio José; Domínguez Bravo, Carmen Ana; Fernández Cara, Enrique; Quero García, Manuel (Wiley, 2017-01-01)
The design of a Solar Power Tower plant involves the optimization of the heliostat field layout. Fields are usually designed ...
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Field-design optimization with triangular heliostat pods

Domínguez Bravo, Carmen Ana; Bode, Sebastian James; Heiming, Gregor; Richter, Pascal; Carrizosa Priego, Emilio José; Fernández Cara, Enrique; Frank, Martin; Gauché, Paul (American Institute of Physics, 2016-05-01)
In this paper the optimization of a heliostat field with triangular heliostat pods is addressed. The use of structures ...
PhD Thesis
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Optimization models in solar power tower plant design. Design of the heliostat field and the tower receivers

Carrizosa Priego, Emilio José; Fernández Cara, Enrique; Quero García, Manuel; Domínguez Bravo, Carmen Ana (2016-01-08)
El diseño de plantas solares con tecnología de torre (utilizaremos las siglas en inglés SPT) comenzó a ser estudiado en ...
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Controlling linear and semilinear systems formed by one elliptic and two parabolic PDEs with one scalar control

Fernández Cara, Enrique; Limaco Ferrel, Juan; Dias Bezerra de Menezes, Silvano (EDP Sciences, 2016-01-01)
In this paper, we prove controllability results for some linear and semilinear systems where we find two parabolic PDEs ...
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On the numerical controllability of the two-dimensional heat, Stokes and Navier-Stokes equations

Fernández Cara, Enrique; Münch, Arnaud; Araujo de Souza, Diego (Springer, 2016-01-01)
The aim of this work is to present some strategies to solve numerically controllability problems for the two-dimensional ...
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Null controllability of linear heat and wave equations with nonlocal spatial terms

Fernández Cara, Enrique; Lü, Qi; Zuazua Iriondo, Enrique (Society for Industrial and Applied Mathematics, 2016-01-01)
In this paper, we study the null controllability of linear heat and wave equations with spatial nonlocal integral terms. ...
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On the controllability of a free-boundary problem for the 1D heat equation

Fernández Cara, Enrique; Limaco Ferrel, Juan; Dias Bezerra de Menezes, Silvano (Elsevier, 2016-01-01)
This paper deals with the local null control of a free-boundary problem for the classical 1D heat equation with distributed ...
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Theoretical and numerical local null controllability of a Ladyzhenskaya-Smagorinsky model of turbulence

Fernández Cara, Enrique; Limaco Ferrel, Juan; Dias Bezerra de Menezes, Silvano (Springer, 2015-12-01)
This paper deals with the control of a differential turbulence model of the Ladyzhenskaya–Smagorinsky kind. In the equations ...
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Optimization of multiple receivers solar power tower systems

Carrizosa Priego, Emilio José; Domínguez Bravo, Carmen Ana; Fernández Cara, Enrique; Quero García, Manuel (Elsevier, 2015-10-01)
In this article a new procedure to optimize the design of a Multiple Receivers Solar Power Tower system is presented. The ...
PhD Thesis
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Resultados teóricos y numéricos de control para EDPs lineales y no lineales

Fernández Cara, Enrique; Araujo de Souza, Diego (2015-05-15)
En esta Tesis presentamos resultados teóricos y numéricos de control para EDPs lineales y no lineales. Primeramente, en ...
Article
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A heuristic method for simultaneous tower and pattern-free field optimization on solar power systems

Carrizosa Priego, Emilio José; Domínguez Bravo, Carmen Ana; Fernández Cara, Enrique; Quero García, Manuel (Elsevier, 2015-05-01)
A heuristic method for optimizing a solar power tower system is proposed, in which both heliostat field (heliostat locations ...
Article
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Stackelberg-Nash exact controllability for linear and semilinear parabolic equations

Dias Araruna, Fágner; Fernández Cara, Enrique; Cardoso Santos, Mauricio (EDP Sciences, 2015-01-01)
This paper deals with the application of Stackelberg–Nash strategies to the control of parabolic equations. We assume that ...
Article
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Controllability of linear and semilinear non-diagonalizable parabolic systems

Fernández Cara, Enrique; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (EDP Sciences, 2015-01-01)
This paper is concerned with the controllability of some (linear and semilinear) nondiagonalizable parabolic systems of ...
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Uniform local null control of the Leray-α model

Dias Araruna, Fágner; Fernández Cara, Enrique; Araujo de Souza, Diego (EDP Sciences, 2014-10-01)
This paper deals with the distributed and boundary controllability of the so called Leray-α model. This is a regularized ...
Presentation
Presentation
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Some recent results concerning the theoretical and numerical controllability of PDEs

Fernández Cara, Enrique; Münch, Arnaud; Araujo de Souza, Diego; Dias Araruna, Fágner; Cardoso Santos, Mauricio; Limaco Ferrel, Juan; Dias Bezerra de Menezes, Silvano (2014-01-01)
Article
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Null controllability for a parabolic-elliptic coupled system

Fernández Cara, Enrique; Limaco Ferrel, Juan; Dias Bezerra de Menezes, Silvano (Springer, 2013-06-01)
In this paper, we prove the null controllability of some parabolicelliptic systems. The control is distributed, locally ...
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Some inverse and control problems for fluids

Fernández Cara, Enrique; Horsin, Thierry; Kasumba, Henry (Université Blaise Pascal de Clermont-Ferrand, 2013-01-01)
This paper deals with some inverse and control problems for the Navier-Stokes and related systems. We will focus on some ...
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Numerical controllability of the wave equation through primal methods and Carleman estimates

Cindea, Nicolae; Fernández Cara, Enrique; Münch, Arnaud (EDP Sciences, 2013-01-01)
This paper deals with the numerical computation of boundary null controls for the 1D wave equation with a potential. The ...
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Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods

Fernández Cara, Enrique; Münch, Arnaud (American Institute of Mathematical Sciences, 2012-09-01)
This paper deals with the numerical computation of distributed null controls for semilinear 1D heat equations, in the ...
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Weak-renormalized solutions for a system that models non-isothermal solidification

Fernández Cara, Enrique; Dias Vaz, Cristina Lúcia (Sociedad Española de Matemática Aplicada, 2012-07-01)
The aim of this paper is to prove the existence of weak-renormalized solutions to a system of the Navier-Stokes-Boussinesq ...
Chapter of Book
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The control of PDEs: some basic concepts, recent results and open problems

Kaplický, Petr; Fernández Cara, Enrique (Jindřich Nečas Center for Mathematical Modeling, 2012-01-01)
These Notes deal with the control of systems governed by some PDEs. I will mainly consider time-dependent problems. The ...
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Some controllability results for linear viscoelastic fluids

Boldrini, José Luiz; Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel (Society for Industrial and Applied Mathematics, 2012-01-01)
We analyze the controllability properties of systems which provide a description, at first approximation, of a kind of ...
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Numerical null controllability of a semi-linear heat equation via a least squares method

Fernández Cara, Enrique; Münch, Arnaud (Elsevier, 2011-08-01)
This note deals with the computation of distributed null controls for a semi-linear 1D heat equation, in the sublinear and ...
Article
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Una nueva publicación: el SEMA Journal

Fernández Cara, Enrique; Pedregal Tercero, Pablo (Real Sociedad Matematica Española, 2011-01-01)
Con gran alegría e ilusión, tenemos el honor de anunciar el primer volumen de una nueva revista científica, editada por ...
Presentation
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Some inverse problems in elastography

Fernández Cara, Enrique; Maestre Caballero, Faustino (2011-01-01)
Article
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Boundary controllability of parabolic coupled equations

Fernández Cara, Enrique; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2010-10-01)
This paper is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two ...
PhD Thesis
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Theoretical and numerical analysis and control of some models that describe tumor growth

Fernández Cara, Enrique; Camacho Vázquez, Gema (2010-01-01)
En esta memoria se presentan resultados relativos a la existencia de solución de varios modelos matemáticos que describen el crecimiento tumoral.
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On the boundary controllability of non-scalar parabolic systems

Fernández Cara, Enrique; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2009-07-01)
This Note is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled ...
Article
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El IEMath: pocas luces, bastantes sombras y muchas miserias

Carro Rosell, María Jesús; Fernández Cara, Enrique (Sociedad Española de Matemática Aplicada, 2009-01-01)
Este artículo contiene un relato de los acontecimientos que han acompañado el intento de creación del Instituto Español de Matemáticas (IEMath), incluyendo comentarios sobre el pasado reciente y el presente de esta iniciativa.
Presentation
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On the control of some systems modelling solidification processes and related phenomena

Fernández Cara, Enrique; Camacho, G.; Boldrini, José Luiz; Caretta, B.; Cabrales, Roberto Carlos (2009-01-01)
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Several questions concerning the control of parabolic systems

Fernández Cara, Enrique (Sociedad Española de Matemática Aplicada, 2008-03-01)
This paper is devoted to recall several recent results concerning the null controllability of some parabolic systems. Among others, we will consider the classical heat equation, the Burgers, Navier-Stokes and GinzburgLandau equations, etc.
Article
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Theoretical analysis and control results for the Fitzhugh-Nagumo equation

Fernández Cara, Enrique; Magalhaes, Paulo M. D.; Brandao, A. J. V.; Rojas Medar, Marko Antonio (2008-01-01)
Article
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Sobre la investigación matemática española y las herramientas de política científica

Fernández Cara, Enrique (Sociedad de Estadística e Investigación Operativa, 2007-10-01)
Presentation
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Resolución numérica de un modelo de frontera libre para el crecimiento tumoral

Calzada Canalejo, María del Carmen; Camacho Vázquez, Gema; Fernández Cara, Enrique; Marín Beltrán, Mercedes (2007-09-01)
En este trabajo presentamos un esquema de resolución numérica de un modelo de frontera libre que simula el crecimiento de ...
Presentation
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Control de EDPs orientado a la terapia de un tumor cerebral

Echevarría Líbano, Rosa; Doubova Krasotchenko, Anna; Fernández Cara, Enrique; Gayte Delgado, María Inmaculada (2007-09-01)
Consideramos un sistema de ecuaciones en derivadas parciales que modela los efectos de una terapia sobre un tumor cerebral ...
Article
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Las matemáticas del control

Fernández Cara, Enrique; Zuazua Iriondo, Enrique (Consejo Superior de Investigaciones Científicas (CSIC), 2007-01-01)
In this article we discuss some issues related with Control Theory addressing its origin, main motivations and historical ...
Article
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An optimal control problem for a generalized Boussinesq model: The time dependent case

Boldrini, José Luiz; Fernández Cara, Enrique; Rojas Medar, Marko Antonio (Universidad Complutense de Madrid, 2007-01-01)
We consider an optimal control problem governed by a system of nonlinear partial differential equations modelling viscous ...
Article
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A geometric inverse problem for the Boussinesq system

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel; Ortega Palma, Jaime Humberto (American Institute of Mathematical Sciences, 2006-11-01)
In this work we present some results for the inverse problem of the identification of a single rigid body immersed in a ...
Article
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Null-exact controllability of a semilinear cascade system of parabolic-hyperbolic equations

Fernández Cara, Enrique; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (American Institute of Mathematical Sciences, 2006-09-01)
This paper is concerned with the null-exact controllability of a cascade system formed by a semilinear heat and a semilinear ...
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Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case

Fernández Cara, Enrique; González Burgos, Manuel; Guerrero Rodríguez, Sergio; Puel, Jean-Pierre (EDP Sciences, 2006-07-01)
This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving ...
Article
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Null controllability of the heat equation with boundary Fourier conditions: the linear case

Fernández Cara, Enrique; González Burgos, Manuel; Guerrero Rodríguez, Sergio; Puel, Jean-Pierre (EDP Sciences, 2006-07-01)
In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary ...
Article
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Uniqueness and partial identification in a geometric inverse problem for the Boussinesq system

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel; Ortega Palma, Jaime Humberto (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 ...
Article
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Remarks on the controllability of some parabolic equations and systems

Fernández Cara, Enrique (Sociedad Española de Matemática Aplicada, 2006-01-01)
We present a review of recent results concerning the null controllability of parabolic systems. Among others, we will ...
Article
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Global Carleman inequalities for parabolic systems and applications to controllability

Fernández Cara, Enrique; Guerrero Rodríguez, Sergio (Society for Industrial and Applied Mathematics, 2006-01-01)
This paper has been conceived as an overview on the controllability properties of some relevant (linear and nonlinear) ...
Article
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Some controllability results for the N-Dimensional Navier-Stokes and Boussinesq systems with N-1 scalar controls

Fernández Cara, Enrique; Guerrero Rodríguez, Sergio; Imanuvilov, Oleg Yu; Puel, Jean-Pierre (Society for Industrial and Applied Mathematics, 2006-01-01)
In this paper we deal with some controllability problems for systems of the Navier-Stokes and Boussinesq kind with distributed ...
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A review of basic theoretical results concerning the Navier-Stokes and other similar equations

Fernández Cara, Enrique (Sociedad Española de Matemática Aplicada, 2005-06-01)
These notes are devoted to provide an introductory approach to the Navier-Stokes and some other related equations. Most ...
PhD Thesis
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Controlabilidad de algunas ecuaciones en derivadas parciales no lineales de tipo parabólico e hiperbólico

Fernández Cara, Enrique; González Burgos, Manuel; Guerrero Rodríguez, Sergio (2005-05-13)
Esta memoria está esencialmente dividida en cinco partes, En la primera, se realiza una detallada introducción sobre los ...
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Sobre la paralelización de problemas elípticos

Calzada Canalejo, María del Carmen; Albarreal Núñez, Isidoro Ignacio; Cruz Soto, José Luis; Fernández Cara, Enrique; Galo Sánchez, José Román; Marín Beltrán, Mercedes (Sociedad Española de Matemática Aplicada, 2005-03-01)
En este trabajo se recogen dos de los problemas que aparecen a la hora de resolver numéricamente las ecuaciones de ...
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Time and space parallelization of the Navier-Stokes equations

Albarreal Núñez, Isidoro Ignacio; Calzada Canalejo, María del Carmen; Cruz Soto, José Luis; Fernández Cara, Enrique; Galo Sánchez, José Román; Marín Beltrán, Mercedes (Sociedade Brasileira de Matemática Aplicada e Computacional, 2005-01-01)
In this paper, we will be mainly concerned with a parallel algorithm (in time and space) which is used to solve the ...
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Controls insensitizing the observation of a quasi-geostrophic ocean model

Fernández Cara, Enrique; García Mókina, Galina Cristina; Osses Alvarado, Axel (Society for Industrial and Applied Mathematics, 2005-01-01)
We consider a linear quasi-geostrophic ocean model with partially known initial conditions. We search for controls that ...
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On the controllability of the heat equation with nonlinear boundary Fourier conditions

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel (Elsevier, 2004-01-20)
In this paper we analyze the approximate and null controllability of the classical heat equation with nonlinear boundary ...
PhD Thesis
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Paralelización en tiempo y espacio de la resolución numérica de algunas ecuaciones en derivadas parciales

Fernández Cara, Enrique; Albarreal Núñez, Isidoro Ignacio (2004-01-14)
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Control theory: history, mathematical achievements and perspectives

Fernández Cara, Enrique; Zuazua Iriondo, Enrique (Sociedad Española de Matemática Aplicada, 2003-12-01)
These notes are devoted to present some of the mathematical milestones of Control Theory. To do that, we first overview ...
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Semi-Galerkin approximation and strong solutions to the equations of the nonhomogeneous asymmetric fluids

Boldrini, José Luiz; Rojas Medar, Marko Antonio; Fernández Cara, Enrique (Elsevier, 2003-11-01)
This paper analyzes an initial/boundary value problem for a system of equations modelling the nonstationary flow of a ...
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Insensitizing controls for a large-scale ocean circulation model

Fernández Cara, Enrique; García Mókina, Galina Cristina; Osses Alvarado, Axel (Elsevier, 2003-08-15)
We consider here a linear quasi-geostrophic ocean model. We look for controls insensitizing (resp. ε-insensitizing) an ...
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Inclusiones diferenciales, matemática difusa y aplicaciones

Fernández Cara, Enrique; Rojas Medar, Marko Antonio; Viera Brandao, Adilson José (Sociedad Española de Matemática Aplicada, 2003-06-01)
En este trabajo diremos cómo se pueden modelar ciertos sistemas tomados de la realidad que usan conceptos propios de la ...
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Neutrinos: medio siglo de sorpresas

Bernabéu Alberola, José; Fernández Cara, Enrique (Real Sociedad Española de Física, 2003-01-01)
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En memoria de Jacques-Louis Lions

Fernández Cara, Enrique (Sociedad Española de Matemática Aplicada, 2002-01-01)
Chapter of Book
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Control of weakly blowing up semilinear heat equations

Berestycki, Henri; Pomeau, Yves; Fernández Cara, Enrique; Zuazua Iriondo, Enrique (Springer, 2002-01-01)
In these notes we consider a semilinear heat equation in a bounded domain of IRd , with control on a subdomain and homogeneous ...
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On the controllability of parabolic systems with a nonlinear term involving the state and the gradient

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel; Zuazua Iriondo, Enrique (Society for Industrial and Applied Mathematics, 2002-01-01)
We present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) ...
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The Stokes equations with Fourier boundary conditions on a wall with asperities

Amirat, Youcef; Climent Ezquerra, María Blanca; Fernández Cara, Enrique; Simon, Jacques (John Wiley & Sons, 2001-03-01)
We study the effect of the rugosity of a wall on the solution of the Stokes system complemented with Fourier boundary ...
Presentation
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Efecto de la rugosidad en el deslizamiento de un fluido sobre una pared

Simon, Jacques; Casado Díaz, Juan; Fernández Cara, Enrique (2001-01-01)
Recordamos resultados y presentamos problemas abiertos acerca de la influencia del perfil y la rugosidad de un cuerpo ...
Article
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Null and approximate controllability for weakly blowing up semilinear heat equations

Fernández Cara, Enrique; Zuazua Iriondo, Enrique (Elsevier, 2000-09-01)
We consider the semilinear heat equation in a bounded domain of Rd , with control on a subdomain and homogeneous Dirichlet ...
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Effet de la rugosité sur un fluide laminaire avec conditions de Fourier

Amirat, Youcef; Climent Ezquerra, María Blanca; Fernández Cara, Enrique; Simon, Jacques (Elsevier, 2000-08-01)
On étudie l'effet de la rugosité d'une paroi sur l'écoulement d'un fluide gouverné par les équations de Stokes avec des ...
PhD Thesis
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Análisis y control de algunas EDP no lineales con origen en mecánica

Fernández Cara, Enrique; González Burgos, Manuel; Doubova Krasotchenko, Anna (2000-01-01)
"En esta Memoria, analizaremos diversos problemas de controlabilidad relacionados con ecuaciones en derivadas parciales (EDP) de evolución de tipo parabólico o hiperbólico, motivadas por problemas con origen en Mecánica".
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Comentarios sobre la reunión de Decanos y Directores de Departamentos de Matemáticas

Fernández Cara, Enrique (Sociedad Española de Matemática Aplicada, 2000-01-01)
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On the approximate and null controllability of the Navier-Stokes equations

Fernández Cara, Enrique (Society for Industrial and Applied Mathematics, 1999-06-01)
This paper presents some known results on the approximate and null controllability of the Navier–Stokes equations. All of them can be viewed as partial answers to a conjecture of J.-L. Lions.
Article
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Some existence and uniqueness results for a time-dependent coupled problem of the Navier-Stokes kind

Climent Ezquerra, María Blanca; Fernández Cara, Enrique (World Scientific, 1998-01-01)
In this paper, we consider some systems which are close to the instationary Navier-Stokes equations. The structure of these ...
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Existence and uniqueness results for a coupled problem related to the stationary Navier-Stokes System

Climent Ezquerra, María Blanca; Fernández Cara, Enrique (1997-04-01)
In this paper, we consider some systems which are close to the stationary Navier-Stokes equations. The structure of these ...
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Null controllability of the semilinear heat equation

Fernández Cara, Enrique (EDP Sciences, 1997-04-01)
This paper is concerned with the null controllability of systems governed by semilinear parabolic equations. The control ...
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The differentiability of the drag with respect to the variations of a Lipschitz domain in a Navier-Stokes flow

Bello Jiménez, Juan Antonio; Fernández Cara, Enrique; Lemoine, Jérôme; Simon, Jacques (Society for Industrial and Applied Mathematics, 1997-01-01)
This paper is concerned with the computation of the drag T associated with a body traveling at uniform velocity in a fluid ...
PhD Thesis
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Soluciones débiles y renormalizadas de algunas EDP no lineales con origen en mecánica de fluidos algunos resultados de unicidad

Fernández Cara, Enrique; Climent Ezquerra, María Blanca (1996-01-01)
En esta memoria consideramos ciertas variantes de las ecuaciones de Navier-Stokes. Concretamente, constan de una ecuación ...
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A result concerning controllability for the Navier-Stokes equations

Fernández Cara, Enrique; González Burgos, Manuel (Society for Industrial and Applied Mathematics, 1995-07-01)
The main goal of this paper is to present a new result concerning controllability of the time-dependent Navier-Stokes ...
PhD Thesis
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Algunas aplicaciones del método de elementos finitos a problemas en derivadas parciales no lineales

Fernández Cara, Enrique; Echevarría Líbano, María Rosa (1995-01-01)
"En la primera parte de la memoria se expone parte de un trabajo realizado en el marco del proyecto Hermes de investigación ...
PhD Thesis
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Contribución al estudio teórico de algunas E.D.P. no lineales relacionadas con fluidos no newtonianos

Guillén González, Francisco Manuel; Fernández Cara, Enrique; Rubens Robles Ortega, Junior (1995-01-01)
El objetivo básico de esta Memoria es aportar nuevos resultados teóricos de existencia, unicidad y dependencia continua ...
PhD Thesis
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Dos problemas relacionados con E.D.P. de evolución no lineales A. Sobre la controlabilidad aproximada de las ecuaciones de Navier-Stokes con control frontera : B. Una nueva demostración de la existencia de solución de leyes de conservación escalares en va

Fernández Cara, Enrique; González Burgos, Manuel (1993-01-01)
"En esta Memoria, estudiamos cuestiones relacionadas con dos problemas en derivadas parciales de evolución no lineales. ...
PhD Thesis
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Nuevos resultados sobre el problema de Navier-Stokes con densidad variable y algunas variantes: Existencia, unicidad, otros resultados teóricos y aproximación numérica

Fernández Cara, Enrique; Guillén González, Francisco Manuel (1992-09-25)
Haremos a continuación una breve descripción de cada uno de los Capítulos de los que consta esta Memoria. Comenzamos el ...
PhD Thesis
PhD Thesis
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Estudio de un modelo matemático de turbulencia obtenido mediante técnicas de homogenización

Fernández Cara, Enrique; Ortegón Gallego, Francisco (1988-01-01)
El presente trabajo trata sobre el estudio de un modelo matemático de Turbulencia: el modelo M.P.P.Este Modelo fue propuesto ...
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Aspectos matemáticos de algunos métodos numéricos en mecánica de fluidos: el problema incompresible de Navier-Stokes

Fernández Cara, Enrique; Marín Beltrán, Mercedes (Universitat Politècnica de Catalunya, 1987-01-01)
El objetivo de este estudio ha sido la obtención de propiedades de convergencia y estabilidad para dos esquemas numéricos ...
PhD Thesis
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Análisis numérico del problema incompresible de Navier-Stokes

Fernández Cara, Enrique; Marín Beltrán, Mercedes (1986-01-01)
"El objetivo fundamental de este trabajo ha sido la obtención de propiedades de estabilidad y convergencia para los dos ...
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Métodos iterativos de resolución de algunos problemas de frontera libre en mecánica de fluidos

Fernández Cara, Enrique (Universitat Politècnica de Catalunya, 1985-01-01)
Presentamos varios métodos iterativos para la búsqueda de puntos críticos de una clase particular de funcionales localmente ...
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A numerical study of some questions in vortex rings theory

Berestycki, Henri; Fernández Cara, Enrique; Glowinski, Roland (EDP Sciences, 1984-01-01)
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Sobre la aproximación numérica de un problema de control geométrico

Fernández Cara, Enrique (Universitat de Barcelona, 1982-01-01)
The purpose of this paper is to introduce a new method for solving an optimum design problem: determining the aerodynamic ...
PhD Thesis
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Contribución al estudio numérico de problemas de vórtices estacionarios

Valle Sánchez, Antonio; Fernández Cara, Enrique (1981-01-01)