Data

NameCasado Díaz, Juan
DepartmentEcuaciones Diferenciales y Análisis Numérico
Knowledge areaAnálisis Matemático
Professional categoryCatedrático de Universidad
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  Statistics

  • Items

    40

  • Visits

    3979

  • Downloads

    4895

  Publications

 

Final Degree Project
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Una introducción al formalismo matemático de la Mecánica Cuántica

Casado Díaz, Juan; Bernal González, Alexander (2020-06-01)
The aim of this work is to introduce the mathematical tools needed in order to explain, in a more rigorous way, the basic ...
Final Degree Project
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Teoría del grado y aplicación a la resolución de ecuaciones diferenciales

Casado Díaz, Juan; Zambrano Monge, Esperanza María (2018-01-01)
El objetivo de la presente memoria es introducir los elementos básicos de la teoría del grado en espacios de dimensión ...
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A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems

Azaïez, Majdi; Ben Belgacem, Faker; Casado Díaz, Juan; Chacón Rebollo, Tomás; Murat, François (Society for Industrial and Applied Mathematics, 2018-01-01)
We introduce a new algorithm of proper generalized decomposition (PGD) for parametric symmetric elliptic partial differential ...
Final Degree Project
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Introducción a la optimización infinito dimensional

Casado Díaz, Juan; Luna Laynez, Manuel; Peña Gallardo, Miguel (2017-06-01)
El objetivo de este trabajo es obtener un resultado general acerca de la existencia de solución de problemas de minimización ...
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Γ-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients

Briane, Marc; Casado Díaz, Juan; Luna Laynez, Manuel; Pallares Martín, Antonio Jesús (Elsevier, 2017-03-01)
The present paper deals with the asymptotic behavior of equi-coercive sequences {Fn} of nonlinear functionals defined over ...
PhD Thesis
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Problemas de homogeneización con alto contraste

Casado Díaz, Juan; Luna Laynez, Manuel; Pallares Martín, Antonio Jesús (2016-12-02)
El objetivo de esta tesis es estudiar la homogeneización de sistemas de ecuaciones en derivadas parciales elípticas. ...
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A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian

Briane, Marc; Casado Díaz, Juan (Elsevier, 2016-04-05)
In this paper a new div-curl result is established in an open set Ω of R N , N ≥ 2, for the product of two sequences of ...
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Smoothness properties for the optimal mixture of two isotropic materials the compliance and eigenvalue problems

Casado Díaz, Juan (Society for Industrial and Applied Mathematics, 2015-01-01)
The present paper is devoted to obtaining some smoothness results for the solution of two classical control problems ...
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A corrector for a wave problem with periodic coefficients in a 1D bounded domain

Casado Díaz, Juan; Couce Calvo, Julio; Maestre Caballero, Faustino; Martín Gómez, José Domingo (EDP Sciences, 2015-01-01)
We consider a wave problem posed in a bounded open interval of R, where the coefficients, the initial conditions and the ...
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Homogenization of systems with equi-integrable coefficients

Briane, Marc; Casado Díaz, Juan (EDP Sciences, 2014-01-01)
In this paper we prove a H-convergence type result for the homogenization of systems the coefficients of which satisfy a ...
Presentation
Presentation
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Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains

Hamilton, I.P.; Vigo Aguiar, Jesús; Calvo Jurado, Carmen; Casado Díaz, Juan; Luna Laynez, Manuel (Computational and Mathematical Methods in Science and Engineering, 2013-01-01)
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Asymptotic behavior of the Navier-Stokes system in a thin domain with Navier condition on a slightly rough boundary

Casado Díaz, Juan; Luna Laynez, Manuel; Suárez Grau, Francisco Javier (Society for Industrial and Applied Mathematics, 2013-01-01)
We study the asymptotic behavior of the solutions of the Navier–Stokes system in a thin domain Ωε of thickness ε satisfying ...
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Homogenization of stiff plates and two-dimensional high-viscosity Stokes equations

Briane, Marc; Casado Díaz, Juan (Springer, 2012-09-01)
The paper deals with the homogenization of rigid heterogeneous plates. Assuming that the coefficients are equi-bounded in ...
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On the Navier boundary condition for viscous fluids in rough domains

Casado Díaz, Juan; Luna Laynez, Manuel; Suárez Grau, Francisco Javier (Sociedad Española de Matemática Aplicada, 2012-04-01)
In this paper we review some recent results concerning the study of the asymptotic behavior of viscous fluids in rough ...
PhD Thesis
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Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas

Luna Laynez, Manuel; Casado Díaz, Juan; Suárez Grau, Francisco Javier (2011-02-18)
Un problema importante en mecánica de fluidos consiste en la elección adecuada de las condiciones de frontera. Una hipótesis ...
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Numerical approximation of a one-dimensional elliptic optimal design problem

Casado Díaz, Juan; Castro Barbero, Carlos Manuel; Luna Laynez, Manuel; Zuazua Iriondo, Enrique (Society for Industrial and Applied Mathematics, 2011-01-01)
We address the numerical approximation by finite-element methods of an optimal design problem for a two phase material in ...
Article
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Estimate of the pressure when its gradient is the divergence of a measure. Applications

Briane, Marc; Casado Díaz, Juan (EDP Sciences, 2011-01-01)
In this paper, a W−1,N estimate of the pressure is derived when its gradient is the divergence of a matrix-valued measure ...
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Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets

Calvo Jurado, Carmen; Casado Díaz, Juan; Luna Laynez, Manuel (EDP Sciences, 2009-01-01)
For a fixed bounded open set Ω ⊂ RN , a sequence of open sets Ωn ⊂ Ω and a sequence of sets Γn ⊂ ∂Ω ∩ ∂Ωn, we study the ...
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Homogenization of non-uniformly bounded periodic diffusion energies in dimension two

Braides, Andrea; Briane, Marc; Casado Díaz, Juan (IOP Publishing, 2009-01-01)
This paper deals with the homogenization of two-dimensional oscillating convex functionals, the densities of which are ...
Article
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Relaxation of a control problem in the coefficients with a functional of quadratic growth in the gradient

Casado Díaz, Juan; Couce Calvo, Julio; Martín Gómez, José Domingo (Society for Industrial and Applied Mathematics, 2008-01-01)
We study an optimal design problem consisting in mixing two anisotropic (electric or thermal) materials in order to minimize ...
Presentation
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Relajación de problemas de control en los coeficientes con un funcional dependiendo del gradiente

Casado Díaz, Juan; Couce Calvo, Julio; Martín Gómez, José Domingo (2007-09-01)
Se considera un problema de diseño ´optimo consistente en mezclar dos materiales (eléctricos o térmicos) anisótropos de ...
Presentation
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Comportamiento asintótico de una viga elástica fijada en pequeñas zonas de uno de sus extremos

Casado Díaz, Juan; Luna Laynez, Manuel; Murat, François (2007-09-01)
Estudiamos el comportamiento asintótico de una viga elástica delgada cuando su anchura, ε, tiende a cero. La viga está ...
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Asymptotic behaviour of equicoercive diffusion energies in dimension two

Briane, Marc; Casado Díaz, Juan (Springer, 2007-08-01)
In this paper, we study the asymptotic behaviour of a given equicoercive sequence of diffusion energies Fn, n ∈ N, defined ...
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Finite elements approximation of second order linear elliptic equations in divergence formwith right-hand side in L1

Casado Díaz, Juan; Chacón Rebollo, Tomás; Girault, Vivette; Gómez Mármol, María Macarena; Murat, François (Springer, 2007-01-01)
In this paper we consider, in dimension d≥ 2, the standard P1P1 finite elements approximation of the second order linear ...
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Homogenization of very thin elastic reticulated structures

Casado Díaz, Juan; Luna Laynez, Manuel; Martín Gómez, José Domingo (De Gruyter, 2005-10-01)
This work is devoted to the homogenization of the anisotropic, linearized elasticity system posed on thin reticulated ...
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Lack of compactness in two-scale convergence

Briane, Marc; Casado Díaz, Juan (Society for Industrial and Applied Mathematics, 2005-01-01)
This article deals with the links between compensated compactness and two-scale convergence. More precisely, we ask the ...
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Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities

Casado Díaz, Juan; Luna Laynez, Manuel; Murat, François (Elsevier, 2004-06-15)
We study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity problem in a ...
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Optimality conditions for nonconvex multistate control problems in the coefficients

Casado Díaz, Juan; Couce Calvo, Julio; Martín Gómez, José Domingo (Society for Industrial and Applied Mathematics, 2004-01-01)
The purpose of this paper is to attain some optimality conditions for the identification of a diffusion matrix (material) ...
PhD Thesis
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Homogeneización de estructuras reticuladas: un método multiescala

Casado Díaz, Juan; Martín Gómez, José Domingo; Luna Laynez, Manuel (2003-01-01)
En la Memoria se introduce un nuevo método para estudiar el comportamiento asintótico de las soluciones de problemas en ...
PhD Thesis
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Homogeneización de problemas de Dirichlet para dominios y coeficientes simultáneamente variables

Casado Díaz, Juan; Calvo Jurado, Carmen (2003-01-01)
En esta memoria se estudia el comportamiento asintótico de las soluciones de ecuaciones en derivadas parciales de tipo ...
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Results on existence of solution for an optimal design problem

Calvo Jurado, Carmen; Casado Díaz, Juan (Universidad de Extremadura, 2003-01-01)
In this paper we study a control problem for elliptic nonlinear monotone problems with Dirichlet boundary conditions where ...
Chapter of Book
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Numerical solution of a Laplace equation with data in L1

Palacios Latasa, Manuel Pedro; Trujillo, David; Torrens Iñigo, Juan José; Madaune-Tort, Monique; López de Silanes Busto, María Cruz; Sanz Sáiz, Gerardo; Casado Díaz, Juan; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Girault, Vivette; Murat, François (Universidad de Zaragoza, 2003-01-01)
In this work, we address the numerical solution of the Laplace equation with data in L1 by IP1 finite element schemes. ...
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The two-scale convergence method applied to generalized Besicovitch spaces

Casado Díaz, Juan; Gayte Delgado, María Inmaculada (The Royal Society, 2002-12-08)
The two-scale convergence method has proved to be a very useful tool for dealing with periodic homogenization problems. ...
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 ...
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Algunos trabajos relacionados con la teoría de E.D.P. y su homogeneización

Casado Díaz, Juan (Sociedad Española de Matemática Aplicada, 2000-12-01)
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Asymptotic behavior of nonlinear elliptic systems on varying domains

Casado Díaz, Juan; Garroni, Adriana (Society for Industrial and Applied Mathematics, 2000-01-01)
We consider a monotone operator of the form Au = −div(a(x, Du)), with Ω ⊆ Rn and a : Ω×MM×N → MM×N , acting on W1,p 0 (Ω, ...
PhD Thesis
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Espacios de Besicovitch generalizados y convergencia en dos escalas

Casado Díaz, Juan; Couce Calvo, Julio; Gayte Delgado, María Inmaculada (1998-01-01)
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Existence of a sequence satisfying Cioranescu-Murat conditions in homogenization of Dirichlet problems in perforated domains

Casado Díaz, Juan (Sapienza Università di Roma, 1996-01-01)
In a paper of 1982, D. Cioranescu and F. Murat considered the problem satisfied by the limit u of the sequence un solution ...
PhD Thesis
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Sobre la homogeneización de problemas no coercivos y problemas en dominios con agujeros

Murat, François; Martín Gómez, José Domingo; Casado Díaz, Juan (1993-11-26)
En esta memoria se estudian dos problemas. El primero hace referencia a la relajación de un funcional energía sobre el ...