Perfil del autor: Casado Díaz, Juan
Datos institucionales
| Nombre | Casado Díaz, Juan |
| Departamento | Ecuaciones Diferenciales y Análisis Numérico |
| Área de conocimiento | Análisis Matemático |
| Categoría profesional | Catedrático de Universidad |
| Correo electrónico | Solicitar |
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Estadísticas
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Nº publicaciones
70
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Nº visitas
6831
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Nº descargas
8695
| Publicaciones |
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Tesis Doctoral
 Study of Optimal Design Problems by the Regularity Method in Nonlinear Equations
(2022)
This thesis is devoted to the study of an optimal design problem, which is the maximization of the internal energy for the ... |
Artículo
Increase of mass and nonlocal effects in the homogenization of magneto-elastodynamics problems
(Springer, 2021)
The paper deals with the homogenization of a magneto-elastodynamics equation satisfied by the displacement uεuε of an ... |
Artículo
Semilinear problems with right-hand sides singular at u = 0 which change sign
(Elsevier, 2021)
The present paper is devoted to the study of the existence of a solution u for a quasilinear second order differential ... |
Artículo
The maximization of the p-Laplacian energy for a two-phase material
(SIAM Publications Library, 2021)
We consider the optimal arrangement of two diffusion materials in a bounded openset \Omega \subset \BbbR Nin order to ... |
Artículo
Numerical Maximization of the p-Laplacian Energy of a Two-Phase Material
(SIAM, 2021)
For a diffusion problem modeled by thep-Laplacian operator, we are interested inobtaining numerically the two-phase material ... |
Artículo
Homogenization of an elastodynamic system with a strong magnetic field and soft inclusions inducing a viscoelastic effective behavior
(Elsevier, 2020)
In this paper we study homogenization of a linear system of elastodynamics in an elastic body with soft inclusions, which ... |
Trabajo Fin de Grado
Una introducción al formalismo matemático de la Mecánica Cuántica
(2020)
The aim of this work is to introduce the mathematical tools needed in order to explain, in a more rigorous way, the basic ... |
Artículo
On existence of optimal potentials on unbounded domains
(Cornell University, 2019)
We consider elliptic equations of Schrödinger type with a right-hand side fixed and with the linear part of order zero ... |
Trabajo Fin de Grado
Teoría del grado y aplicación a la resolución de ecuaciones diferenciales
(2018)
El objetivo de la presente memoria es introducir los elementos básicos de la teoría del grado en espacios de dimensión ... |
Artículo
A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems
(Society for Industrial and Applied Mathematics, 2018)
We introduce a new algorithm of proper generalized decomposition (PGD) for parametric symmetric elliptic partial differential ... |
Trabajo Fin de Grado
Introducción a la optimización infinito dimensional
(2017)
El objetivo de este trabajo es obtener un resultado general acerca de la existencia de solución de problemas de minimización ... |
Artículo
Γ-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients
(Elsevier, 2017)
The present paper deals with the asymptotic behavior of equi-coercive sequences {Fn} of nonlinear functionals defined over ... |
Tesis Doctoral
Problemas de homogeneización con alto contraste
(2016)
El objetivo de esta tesis es estudiar la homogeneización de sistemas de ecuaciones en derivadas parciales elípticas. ... |
Artículo
A characterization result for the existence of a two-phase material minimizing the first eigenvalue
(Elsevier, 2016)
Given two isotropic homogeneous materials represented by two constants 0 <α< | |, we consider here the problem consisting ... |
Artículo
A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian
(Elsevier, 2016)
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 ... |
Artículo
Smoothness properties for the optimal mixture of two isotropic materials the compliance and eigenvalue problems
(Society for Industrial and Applied Mathematics, 2015)
The present paper is devoted to obtaining some smoothness results for the solution of two classical control problems ... |
Artículo
A corrector for a wave problem with periodic coefficients in a 1D bounded domain
(EDP Sciences, 2015)
We consider a wave problem posed in a bounded open interval of R, where the coefficients, the initial conditions and the ... |
Artículo
The behavior of a beam fixed on small sets of one of its extremities
(AIMS, 2014)
In this paper we study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity ... |
Artículo
Homogenization of systems with equi-integrable coefficients
(EDP Sciences, 2014)
In this paper we prove a H-convergence type result for the homogenization of systems the coefficients of which satisfy a ... |
Artículo
Homogenization of convex functionals which are weakly coercive and not equi-bounded from above
(Elsevier, 2013)
This paper deals with the homogenization of nonlinear convex energies defined in W_{0}^{1,1}(\Omega )W01,1(Ω), for a regular ... |
Artículo
Homogenization and correctors for monotone problems in cylinders of small diameter
(Elsevier, 2013)
In this paper we study the homogenization of monotone diffusion equations posed in an N-dimensional cylinder which converges ... |
| Ponencia |
Ponencia
Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains
(Computational and Mathematical Methods in Science and Engineering, 2013)
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Artículo
Asymptotic behavior of the Navier-Stokes system in a thin domain with Navier condition on a slightly rough boundary
(Society for Industrial and Applied Mathematics, 2013)
We study the asymptotic behavior of the solutions of the Navier–Stokes system in a thin domain Ωε of thickness ε satisfying ... |
Artículo
Homogenization of stiff plates and two-dimensional high-viscosity Stokes equations
(Springer, 2012)
The paper deals with the homogenization of rigid heterogeneous plates. Assuming that the coefficients are equi-bounded in ... |
Artículo
On the Navier boundary condition for viscous fluids in rough domains
(Sociedad Española de Matemática Aplicada, 2012)
In this paper we review some recent results concerning the study of the asymptotic behavior of viscous fluids in rough ... |
Tesis Doctoral
Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas
(2011)
Un problema importante en mecánica de fluidos consiste en la elección adecuada de las condiciones de frontera. Una hipótesis ... |
Artículo
Homogenization and corrector for the wave equation with discontinuous coefficients in time
(Elsevier, 2011)
In this paper we analyze the homogenization of the wave equation with bounded variation coefficients in time, generalizing ... |
Artículo
Estimate of the pressure when its gradient is the divergence of a measure. Applications
(EDP Sciences, 2011)
In this paper, a W−1,N estimate of the pressure is derived when its gradient is the divergence of a matrix-valued measure ... |
Artículo
Numerical approximation of a one-dimensional elliptic optimal design problem
(Society for Industrial and Applied Mathematics, 2011)
We address the numerical approximation by finite-element methods of an optimal design problem for a two phase material in ... |
Artículo
A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary
(ScienceDirect, 2010)
We consider a viscous fluid of small height ε on a periodic rough bottom Γε of period rε and amplitude δε, δε rε ε, where ... |
Artículo
A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary
(Elsevier, 2010)
We consider a viscous fluid of small height ε on a periodic rough bottom Γε of period rε and amplitude δε, δε rε ε, where ... |
Artículo
The div-curl lemma “trente ans après”: an extension and an application to the G-convergence of unbounded monotone operators
(Elsevier, 2009)
In this paper new div-curl results are derived. For any open set Ω of RN, N⩾2, we study the limit of the product vn⋅wn ... |
Artículo
Homogenization of non-uniformly bounded periodic diffusion energies in dimension two
(IOP Publishing, 2009)
This paper deals with the homogenization of two-dimensional oscillating convex functionals, the densities of which are ... |
Artículo
Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets
(EDP Sciences, 2009)
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 ... |
Artículo
Uniform convergence of sequences of solutions of two-dimensional linear elliptic equations with unbounded coefficients
(Elsevier, 2008)
This paper deals with the behavior of two-dimensional linear elliptic equations with unbounded (and possibly infinite) ... |
Artículo
Relaxation of a control problem in the coefficients with a functional of quadratic growth in the gradient
(Society for Industrial and Applied Mathematics, 2008)
We study an optimal design problem consisting in mixing two anisotropic (electric or thermal) materials in order to minimize ... |
Ponencia
Relajación de problemas de control en los coeficientes con un funcional dependiendo del gradiente
(2007)
Se considera un problema de diseño ´optimo consistente en mezclar dos materiales (eléctricos o térmicos) anisótropos de ... |
Ponencia
Comportamiento asintótico de una viga elástica fijada en pequeñas zonas de uno de sus extremos
(2007)
Estudiamos el comportamiento asintótico de una viga elástica delgada cuando su anchura, ε, tiende a cero. La viga está ... |
Artículo
Asymptotic behaviour of equicoercive diffusion energies in dimension two
(Springer, 2007)
In this paper, we study the asymptotic behaviour of a given equicoercive sequence of diffusion energies Fn, n ∈ N, defined ... |
Artículo
Nonlocal limits in the study of linear elliptic systems arising in periodic homogenization
(Elsevier, 2007)
In the present paper, we obtain the two-scale limit system of a sequence of linear elliptic periodic problems with varying ... |
Artículo
Two-Dimensional Div-Curl Results: Application to the Lack of Nonlocal Effects in Homogenization
(Taylor & Francis, 2007)
In this paper, we study the asymptotic behaviour of sequences of conduction problems and sequences of the associated ... |
Artículo
Uniqueness results for pseudomonotone problems with p>2
(French Academy of Sciences, 2007)
We consider a pseudomonotone operator, the model of which is −div(b(x, u)|∇ u| p−2∇ u) with 1 <p< +∞ and b(x, s) a Lipschitz ... |
Artículo
Finite elements approximation of second order linear elliptic equations in divergence formwith right-hand side in L1
(Springer, 2007)
In this paper we consider, in dimension d≥ 2, the standard P1P1 finite elements approximation of the second order linear ... |
Artículo
Homogenization of Dirichlet parabolic problems for coefficients and open sets simultaneously variable and applications to optimal design
(Elsevier, 2006)
In a previous paper, we studied the homogenization of a sequence of parabolic linear Dirichlet problems, when the coefficients ... |
Artículo
Exponential decay for the solutions of nonlinear elliptic systems posed in unbounded cylinders☆
(Elsevier, 2006)
We study the asymptotic behavior at infinity of the solutions of a nonlinear elliptic system posed in a cylinder of infinite ... |
Artículo
A density result for the variation of a material with respect to small inclusions
(Elsevier, 2006)
We consider the family of materials obtained, via homogenization, by replacing a small portion, of size ɛ, of a fixed ... |
Artículo
A density result for the variation of a material with respect to small inclusions
(Elsevier, 2006)
We consider the family of materials obtained, via homogenization, by replacing a small portion, of size ɛ, of a fixed ... |
Artículo
Homogenization of very thin elastic reticulated structures
(De Gruyter, 2005)
This work is devoted to the homogenization of the anisotropic, linearized elasticity system posed on thin reticulated ... |
Artículo
Asymptotic behaviour of linear Dirichlet parabolic problems with variable operators depending on time in varying domains
(Elsevier, 2005)
We study the asymptotic behaviour of the solutions of linear parabolic Dirichlet problems when the coefficients and the ... |
Artículo
Lack of compactness in two-scale convergence
(Society for Industrial and Applied Mathematics, 2005)
This article deals with the links between compensated compactness and two-scale convergence. More precisely, we ask the ... |
Artículo
Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities
(Elsevier, 2004)
We study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity problem in a ... |
Artículo
Asymptotic behavior of diffusion problems in a domain made of two cylinders of different diameters and lengths
(Elsevier, 2004)
We study the asymptotic behavior of the solution of a diffusion problem posed in the union of a cylinder of small diameter and ... |
Artículo
Optimality conditions for nonconvex multistate control problems in the coefficients
(Society for Industrial and Applied Mathematics, 2004)
The purpose of this paper is to attain some optimality conditions for the identification of a diffusion matrix (material) ... |
Artículo
Why viscous fluids adhere to rugose walls
(Elsevier, 2003)
The main purpose of this paper is to justify rigorously the following assertion: A viscous fluid cannot slip on a wall ... |
Capítulo de Libro
Numerical solution of a Laplace equation with data in L1
(Universidad de Zaragoza, 2003)
In this work, we address the numerical solution of the Laplace equation with data in L1 by IP1 finite element schemes. ... |
Tesis Doctoral
Homogeneización de problemas de Dirichlet para dominios y coeficientes simultáneamente variables
(2003)
En esta memoria se estudia el comportamiento asintótico de las soluciones de ecuaciones en derivadas parciales de tipo ... |
Artículo
Results on existence of solution for an optimal design problem
(Universidad de Extremadura, 2003)
In this paper we study a control problem for elliptic nonlinear monotone problems with Dirichlet boundary conditions where ... |
Tesis Doctoral
Homogeneización de estructuras reticuladas: un método multiescala
(2003)
En la Memoria se introduce un nuevo método para estudiar el comportamiento asintótico de las soluciones de problemas en ... |
Artículo
The two-scale convergence method applied to generalized Besicovitch spaces
(The Royal Society, 2002)
The two-scale convergence method has proved to be a very useful tool for dealing with periodic homogenization problems. ... |
Artículo
Why viscous fluids adhere to rugose walls: A mathematical explanation
(ScienceDirect, 2002)
The main purpose of this paper is to justify rigorously the following assertion: A viscous fluid cannot slip on a wall ... |
Artículo
The limit of Dirichlet systems for variable monotone operators in general perforated domains
(Elsevier, 2001)
We study the asymptotic behaviour of the solutions of nonlinear Dirichlet systems when the operators and the open sets ... |
Ponencia
Efecto de la rugosidad en el deslizamiento de un fluido sobre una pared
(2001)
Recordamos resultados y presentamos problemas abiertos acerca de la influencia del perfil y la rugosidad de un cuerpo ... |
Artículo
Algunos trabajos relacionados con la teoría de E.D.P. y su homogeneización
(Sociedad Española de Matemática Aplicada, 2000)
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Artículo
Asymptotic behavior of nonlinear elliptic systems on varying domains
(Society for Industrial and Applied Mathematics, 2000)
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, ... |
| Tesis Doctoral |
Artículo
Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains
(Elsevier, 1997)
In this paper, we study the homogenization of a Dirichlet problem in perforated domains for an operator which is the ... |
Artículo
Homogenization of a quasi-linear problem with quadratic growth in perforated domains: An example
(Elsevier, 1997)
We study the homogenization of Dirichlet problems for a fixed quasi-linear operator which is the perturbation of the Laplace ... |
Artículo
Existence of a sequence satisfying Cioranescu-Murat conditions in homogenization of Dirichlet problems in perforated domains
(Sapienza Università di Roma, 1996)
In a paper of 1982, D. Cioranescu and F. Murat considered the problem satisfied by the limit u of the sequence un solution ... |
Tesis Doctoral
Sobre la homogeneización de problemas no coercivos y problemas en dominios con agujeros
(1993)
En esta memoria se estudian dos problemas. El primero hace referencia a la relajación de un funcional energía sobre el ... |