NombreFernández Cara, Enrique
DepartamentoEcuaciones Diferenciales y Análisis Numérico
Área de conocimientoAnálisis Matemático
Categoría profesionalCatedrático de Universidad
Correo electrónicoSolicitar
           
  • Nº publicaciones

    132

  • Nº visitas

    19517

  • Nº descargas

    32434


 

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Exact controllability to the trajectories of the one-phase Stefan problem

Bárcena Petisco, Jon Asier; Fernández Cara, Enrique; Araujo de Souza, Diego (Elsevier, 2023)
This paper deals with the boundary exact controllability to the trajectories of the one-phase Stefan problem in one spatial ...
Trabajo Fin de Grado
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Controlabilidad de EDOs y EDPs lineales

Martos del Espino, María Araceli; Fernández Cara, Enrique (2023)
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Global controllability of the bousiinesq system with Navier-slip-with-friction and Robin boundary conditions

Chaves Silva, Felipe Wallison; Fernández Cara, Enrique; Balc'h. K. Le; Ferreira Machado, José Lucas; Araujo de Souza, Diego (SIAM, 2023)
In this paper, we deal with the global exact controllability to the trajectories of theBoussinesq system posed in 2D or ...
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Remarks on the control of two-phase Stefan free-boundary problems

Araujo, Raul K.C.; Fernández Cara, Enrique; Límaco, Juan; Araujo de Souza, Diego (SIAM, 2022)
This paper concerns the null controllability of the two-phase 1D Stefan problemwith distributed controls. ...
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New results concerning the hierarchical control of linear and semilinear parabolic equations

Calsavara Caretta, Bianca Morelli; Fernández Cara, Enrique; Teresa, Luz de; Villa, José Antonio (E.D.P. Sciences, 2022)
This paper deals with the application of multiple strategies to control some parabolic PDEs. We assume that we can act on ...
Trabajo Fin de Grado
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Matemáticas y epidemias: modelos basados en ecuaciones diferenciales

Navarro Torrero, Pablo; Fernández Cara, Enrique (2022)
Trabajo Fin de Grado
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Análisis y control óptimo de las EDPs estacionarias de Stokes y Navier-Stokes

Candón Cifuentes, Javier; Fernández Cara, Enrique (2021)
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Some inverse problems for the Burgers equation and related systems

Apraiz, J.; Doubova Krasotchenko, Anna; Fernández Cara, Enrique; Yamamoto, M. (Elsevier, 2021)
In this article we deal with one-dimensional inverse problems concerning the Burgers equation and some related nonlinear ...
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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)
We consider some optimal control problems for systems governed by linear parabolic PDEs with local controls that can move ...
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On the uniform controllability for a family of non-viscous and viscous Burgers- α systems

Araújo, Raul K.C.; Fernández Cara, Enrique; Araujo de Souza, Diego (E.D.P. Sciences, 2021)
In this paper we study the global controllability of families of the so called non-viscous and viscous Burgers- systems ...
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Bi-objective optimal control of some PDEs: Nash equilibria and quasi-equilibria

Fernández Cara, Enrique; Marín Gayte, Irene (E.D.P. Sciences, 2021)
This paper deals with the solution of some multi-objective optimal control problems for several PDEs: linear and semilinear ...
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An extremal problem with applications to renewable energy production

Ashley, Thomas Ian; Carrizosa Priego, Emilio José; Fernández Cara, Enrique (EDP Sciences, 2021)
Dynamic optimisation provides complex challenges for optimal solution, but greatly increases applicability when considering ...
Tesis Doctoral
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Análisis y control de algunas EDPS no lineales

Marín Gayte, Irene; Fernández Cara, Enrique (2021)
En este trabajo se presentan varios resultados de tipo teórico y numérico para diversos problemas diferenciales. Comenzamos ...
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Non null controllability of Stokes equations with memory

Fernández Cara, Enrique; F. Machado, José Lucas; Araujo de Souza, Diego (EDP Sciences, 2020)
In this paper, we consider the null controllability problem for the Stokes equations with a memory term. For any positive ...
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On some geometric inverse problems for nonscalar elliptic systems

Araujo, Raul K.C.; Fernández Cara, Enrique; Araujo de Souza, Diego (Elsevier, 2020)
In this paper, we consider several geometric inverse problems for linear elliptic systems. We prove uniqueness and stability ...
Trabajo Fin de Grado
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Problemas de Elasticidad Lineal: Resultados Teóricos y Numéricos Aplicaciones

Jiménez Jiménez, Miguel Ángel; Fernández Cara, Enrique (2020)
Solid mechanics studies the physical behavior of solids in general, establishing within it a distinction between rigid ...
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Numerical Stackelberg--Nash Control for the Heat Equation

P. de Carvalho, Pitágoras; Fernández Cara, Enrique (SIAM, 2020)
This paper deals with a strategy to solve numerically control problems of theStackelberg--Nash kind for ...
Tesis Doctoral
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New methods and results in the optimisation of solar power tower plants

Ashley, Thomas Ian; Carrizosa Priego, Emilio José; Fernández Cara, Enrique (2019)
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)
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)
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)
Optimising the aiming strategy is crucial for Solar Power Tower plants, in order to maximise the energy generated, whilst ...
Capítulo de Libro
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Remarks on the Control of Family of b–Equations

Fernández Cara, Enrique; Araujo de Souza, Diego (Elsevier, 2019)
Presents cutting-edge results in the areas of control theory and PDEs, giving a broad picture of recent advances Contains contributions from leading experts Includes theoretical studies and models for applications
Ponencia
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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)
Inclement weather effects have a direct impact on the efficiency of a Solar Power Tower plant and have the potential to ...
Trabajo Fin de Grado
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Resultados teóricos y numéricos para problemas de control gobernados por EDOs y EDPs

Becerra Tomé, Alberto; Fernández Cara, Enrique (2018)
Es un problema recurrente en Matemáticas, Ciencias Naturales y Ciencias Sociales, la búsqueda de una solución óptima frente ...
Trabajo Fin de Grado
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Modelado, análisis y simulación, numérica de algunos sistemas que describen la evolución de tumores

Molina Rodríguez, Jesús; Fernández Cara, Enrique (2018)
A raíz de la continua investigación sobre el cáncer, surge toda una serie de nuevas estrategias, técnicas experimentales ...
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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)
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)
This paper deals with some inverse problems for the linear elasticity system with origin in elastography: we try to identify ...
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Local null controllability of a 1D Stefan problem

Fernández Cara, Enrique; Hernández, Freddy; Limaco Ferrel, Juan (Springer, 2018)
The purpose of this article is to give a new proof of a null controllability result for a 1D free-boundary problem of the ...
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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)
The distribution of temperature on a Solar Power Tower (SPT) plant receiver directly affects the lifespan of the structure ...
Trabajo Fin de Máster
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Análisis y control de problemas de tipo Navier-Stokes

Marín Gayte, Irene; Fernández Cara, Enrique (2017)
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)
This paper is concerned with Stackelberg-Nash strategies to control parabolic equations. We have one control, the leader, ...
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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)
The design of a Solar Power Tower plant involves the optimization of the heliostat field layout. Fields are usually designed ...
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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)
The aim of this work is to present some strategies to solve numerically controllability problems for the two-dimensional ...
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Local Null Controllability of a Free-Boundary Problem for the Semilinear 1D Heat Equation

Fernández Cara, Enrique; Sousa, Ivaldo Tributino de (Springer, 2016)
This paper deals with the local null control of a free-boundary problem for the 1D semilinear heat equation with distributed ...
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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)
In this paper the optimization of a heliostat field with triangular heliostat pods is addressed. The use of structures ...
Tesis Doctoral
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Optimization models in solar power tower plant design. Design of the heliostat field and the tower receivers

Domínguez Bravo, Carmen Ana; Carrizosa Priego, Emilio José; Fernández Cara, Enrique; Quero García, Manuel (2016)
El diseño de plantas solares con tecnología de torre (utilizaremos las siglas en inglés SPT) comenzó a ser estudiado en ...
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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)
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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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)
In this paper, we study the null controllability of linear heat and wave equations with spatial nonlocal integral terms. ...
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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)
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 boundary controllability of incompressible Euler fluids with Boussinesq heat effects

Fernández Cara, Enrique; Cardoso Santos, Mauricio; Araujo de Souza, Diego (Springer, 2015)
This paper deals with the boundary controllability of inviscid incompressible fluids for which thermal effects are important. ...
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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)
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)
In this article a new procedure to optimize the design of a Multiple Receivers Solar Power Tower system is presented. The ...
Tesis Doctoral
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Resultados teóricos y numéricos de control para EDPs lineales y no lineales

Araujo de Souza, Diego; Fernández Cara, Enrique (2015)
En esta Tesis presentamos resultados teóricos y numéricos de control para EDPs lineales y no lineales. Primeramente, en ...
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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)
A heuristic method for optimizing a solar power tower system is proposed, in which both heliostat field (heliostat locations ...
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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)
This paper is concerned with the controllability of some (linear and semilinear) nondiagonalizable parabolic systems of ...
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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)
This paper deals with the application of Stackelberg–Nash strategies to the control of parabolic equations. We assume that ...
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Analysis and optimal control of some solidification processes

Cabrales, Roberto Carlos; Camacho, G.; Fernández Cara, Enrique (AIMS, 2014)
In this paper we consider a mathematical model that describes the solidi cation of a binary alloy. We prove some existence ...
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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)
This paper deals with the distributed and boundary controllability of the so called Leray-α model. This is a regularized ...
Trabajo Fin de Máster
Ponencia
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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)
Ponencia
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On the control of the Burgers-alpha model

Dias Araruna, Fágner; Fernández Cara, Enrique; Araujo de Souza, Diego (Project Euclid, 2013)
This work is devoted to proving the local null controllability of the Burgers- α model. The state is the solution to a ...
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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)
In this paper, we prove the null controllability of some parabolicelliptic systems. The control is distributed, locally ...
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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)
This paper deals with the numerical computation of boundary null controls for the 1D wave equation with a potential. The ...
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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)
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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Motivation, analysis and control of the variable density Navier-Stokes equations

Fernández Cara, Enrique (AIMS, 2012)
Résultats d’unicité pour des problèmes pseudomonotones avec p > 2. Nous considérons un opérateur pseudomonotone du type ...
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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)
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)
The aim of this paper is to prove the existence of weak-renormalized solutions to a system of the Navier-Stokes-Boussinesq ...
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On the control of some coupled systems of the Boussinesq kind with few controls

Fernández Cara, Enrique; Araujo de Souza, Diego (AIMS, 2012)
This paper is devoted to prove the local exact controllability to the trajectories for a coupled system, of the Boussinesq ...
Capítulo de Libro
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The control of PDEs: some basic concepts, recent results and open problems

Fernández Cara, Enrique; Kaplický, Petr (Jindřich Nečas Center for Mathematical Modeling, 2012)
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)
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)
This note deals with the computation of distributed null controls for a semi-linear 1D heat equation, in the sublinear and ...
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Some inverse problems in elastography

Fernández Cara, Enrique; Maestre Caballero, Faustino (2011)
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Una nueva publicación: el SEMA Journal

Fernández Cara, Enrique; Pedregal Tercero, Pablo (Real Sociedad Matematica Española, 2011)
Con gran alegría e ilusión, tenemos el honor de anunciar el primer volumen de una nueva revista científica, editada por ...
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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)
This paper is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two ...
Tesis Doctoral
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Theoretical and numerical analysis and control of some models that describe tumor growth

Camacho Vázquez, Gema; Fernández Cara, Enrique (2010)
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)
This Note is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled ...
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Analysis of a two-phase field model for the solidification of an alloy

Boldrini, José Luis; Calsavara Caretta, Bianca Morelli; Fernández Cara, Enrique (ScienceDirect, 2009)
In this paper we present some theoretical results for a system of nonlinear partial differential equations that provide a ...
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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)
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.
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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)
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Several questions concerning the control of parabolic systems

Fernández Cara, Enrique (Sociedad Española de Matemática Aplicada, 2008)
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.
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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)
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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)
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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)
En este trabajo presentamos un esquema de resolución numérica de un modelo de frontera libre que simula el crecimiento de ...
Ponencia
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Control de EDPs orientado a la terapia de un tumor cerebral

Echevarría Líbano, María Rosa; Doubova Krasotchenko, Anna; Fernández Cara, Enrique; Gayte Delgado, María Inmaculada (2007)
Consideramos un sistema de ecuaciones en derivadas parciales que modela los efectos de una terapia sobre un tumor cerebral ...
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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)
We consider an optimal control problem governed by a system of nonlinear partial differential equations modelling viscous ...
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Las matemáticas del control

Fernández Cara, Enrique; Zuazua Iriondo, Enrique (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 ...
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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)
In this work we present some results for the inverse problem of the identification of a single rigid body immersed in a ...
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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)
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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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)
In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary ...
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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)
This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving ...
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Null controllability of the heat equation with boundary Fourier conditions: the linear case

Fernández Cara, Enrique; González Burgos, Manuel; Guerrero, Sergio; Puel, Jean-Pierre (Société de Mathématiques Appliquées et Industrielles, 2006)
In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary ...
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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)
We analyze the inverse problem of the identification of a rigid body immersed in a fluid governed by the stationary Boussinesq ...
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Remarks on the controllability of some parabolic equations and systems

Fernández Cara, Enrique (Sociedad Española de Matemática Aplicada, 2006)
We present a review of recent results concerning the null controllability of parabolic systems. Among others, we will ...
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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)
In this paper we deal with some controllability problems for systems of the Navier-Stokes and Boussinesq kind with distributed ...
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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)
This paper has been conceived as an overview on the controllability properties of some relevant (linear and nonlinear) ...
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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)
These notes are devoted to provide an introductory approach to the Navier-Stokes and some other related equations. Most ...
Tesis Doctoral
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Controlabilidad de algunas ecuaciones en derivadas parciales no lineales de tipo parabólico e hiperbólico

Guerrero Rodríguez, Sergio; Fernández Cara, Enrique; González Burgos, Manuel (2005)
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)
En este trabajo se recogen dos de los problemas que aparecen a la hora de resolver numéricamente las ecuaciones de ...
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On the controllability of the N-dimensional Navier–Stokes and Boussinesq systems with N − 1 scalar controls

Fernández Cara, Enrique; Guerrero, Sergio; Imanuvilov, Oleg Yurievich; Puel, Jean-Pierre (Elsevier, 2005)
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.
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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)
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)
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)
In this paper we analyze the approximate and null controllability of the classical heat equation with nonlinear boundary ...
Tesis Doctoral
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Control theory: history, mathematical achievements and perspectives

Fernández Cara, Enrique; Zuazua Iriondo, Enrique (Sociedad Española de Matemática Aplicada, 2003)
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)
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)
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)
En este trabajo diremos cómo se pueden modelar ciertos sistemas tomados de la realidad que usan conceptos propios de la ...
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Why viscous fluids adhere to rugose walls

Casado Díaz, Juan; Fernández Cara, Enrique; Simon, Jacques (Elsevier, 2003)
The main purpose of this paper is to justify rigorously the following assertion: A viscous fluid cannot slip on a wall ...
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Neutrinos: medio siglo de sorpresas

Bernabéu Alberola, José; Fernández Cara, Enrique (Real Sociedad Española de Física, 2003)
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Why viscous fluids adhere to rugose walls: A mathematical explanation

Casado Díaz, Juan; Fernández Cara, Enrique; Simon, Jacques (ScienceDirect, 2002)
The main purpose of this paper is to justify rigorously the following assertion: A viscous fluid cannot slip on a wall ...
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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)
We present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) ...
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En memoria de Jacques-Louis Lions

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

Fernández Cara, Enrique; Zuazua Iriondo, Enrique; Berestycki, Henri; Pomeau, Yves (Springer, 2002)
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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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)
We study the effect of the rugosity of a wall on the solution of the Stokes system complemented with Fourier boundary ...
Ponencia
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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)
Recordamos resultados y presentamos problemas abiertos acerca de la influencia del perfil y la rugosidad de un cuerpo ...
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Null and approximate controllability for weakly blowing up semilinear heat equations

Fernández Cara, Enrique; Zuazua Iriondo, Enrique (Elsevier, 2000)
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)
On étudie l'effet de la rugosité d'une paroi sur l'écoulement d'un fluide gouverné par les équations de Stokes avec des ...
Tesis Doctoral
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Análisis y control de algunas EDP no lineales con origen en mecánica

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel (2000)
"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)
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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)
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.
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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)
In this paper, we consider some systems which are close to the instationary Navier-Stokes equations. The structure of these ...
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Null controllability of the semilinear heat equation

Fernández Cara, Enrique (EDP Sciences, 1997)
This paper is concerned with the null controllability of systems governed by semilinear parabolic equations. The control ...
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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)
In this paper, we consider some systems which are close to the stationary Navier-Stokes equations. The structure of these ...
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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)
This paper is concerned with the computation of the drag T associated with a body traveling at uniform velocity in a fluid ...
Tesis Doctoral
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Soluciones débiles y renormalizadas de algunas EDP no lineales con origen en mecánica de fluidos algunos resultados de unicidad

Climent Ezquerra, María Blanca; Fernández Cara, Enrique (1996)
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)
The main goal of this paper is to present a new result concerning controllability of the time-dependent Navier-Stokes ...
Tesis Doctoral
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Contribución al estudio teórico de algunas E.D.P. no lineales relacionadas con fluidos no newtonianos

Rubens Robles Ortega, Junior; Guillén González, Francisco Manuel; Fernández Cara, Enrique (1995)
El objetivo básico de esta Memoria es aportar nuevos resultados teóricos de existencia, unicidad y dependencia continua ...
Tesis Doctoral
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Algunas aplicaciones del método de elementos finitos a problemas en derivadas parciales no lineales

Echevarría Líbano, María Rosa; Fernández Cara, Enrique (1995)
"En la primera parte de la memoria se expone parte de un trabajo realizado en el marco del proyecto Hermes de investigación ...
Tesis Doctoral
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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

González Burgos, Manuel; Fernández Cara, Enrique (1993)
"En esta Memoria, estudiamos cuestiones relacionadas con dos problemas en derivadas parciales de evolución no lineales. ...
Tesis Doctoral
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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

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

Ortegón Gallego, Francisco; Fernández Cara, Enrique (1988)
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)
El objetivo de este estudio ha sido la obtención de propiedades de convergencia y estabilidad para dos esquemas numéricos ...
Tesis Doctoral
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Análisis numérico del problema incompresible de Navier-Stokes

Marín Beltrán, Mercedes; Fernández Cara, Enrique (1986)
"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)
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)
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On the numerical approximation of a geometric control problem

Fernández Cara, Enrique (Universidad de Barcelona, 1982)
The purpose of this paper is to introduce a new method for solving an optimun design problem: determining the aerodynamic ...
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Sobre la aproximación numérica de un problema de control geométrico

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

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