Author profile: Casado Díaz, Juan
Institutional data
Name | Casado Díaz, Juan |
Department | Ecuaciones Diferenciales y Análisis Numérico |
Knowledge area | Análisis Matemático |
Professional category | Catedrático de Universidad |
Request | |
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Statistics
-
No. publications
70
-
No. visits
5409
-
No. downloads
6700
Publications |
---|
PhD Thesis
![]() Study of Optimal Design Problems by the Regularity Method in Nonlinear Equations
(2022-01-26)
This thesis is devoted to the study of an optimal design problem, which is the maximization of the internal energy for the ... |
Article
![]() Increase of mass and nonlocal effects in the homogenization of magneto-elastodynamics problems
(Springer, 2021-07-24)
The paper deals with the homogenization of a magneto-elastodynamics equation satisfied by the displacement uεuε of an ... |
Article
![]() Semilinear problems with right-hand sides singular at u = 0 which change sign
(Elsevier, 2021-06-01)
The present paper is devoted to the study of the existence of a solution u for a quasilinear second order differential ... |
Article
![]() Numerical Maximization of the p-Laplacian Energy of a Two-Phase Material
(SIAM, 2021-01-01)
For a diffusion problem modeled by thep-Laplacian operator, we are interested inobtaining numerically the two-phase material ... |
Article
![]() Homogenization of an elastodynamic system with a strong magnetic field and soft inclusions inducing a viscoelastic effective behavior
(Elsevier, 2020-12-15)
In this paper we study homogenization of a linear system of elastodynamics in an elastic body with soft inclusions, which ... |
Article
![]() Homogenization of an elastodynamic system with a strong magnetic field and soft inclusions inducing a viscoelastic effective behavior
(Elsevier, 2020-12-15)
In this paper we study homogenization of a linear system of elastodynamics in an elastic body with soft inclusions, which ... |
Final Degree Project
![]() Una introducción al formalismo matemático de la Mecánica Cuántica
(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 ... |
Article
![]() On existence of optimal potentials on unbounded domains
(Cornell University, 2019-09-13)
We consider elliptic equations of Schrödinger type with a right-hand side fixed and with the linear part of order zero ... |
Final Degree Project
![]() Teoría del grado y aplicación a la resolución de ecuaciones diferenciales
(2018-01-01)
El objetivo de la presente memoria es introducir los elementos básicos de la teoría del grado en espacios de dimensión ... |
Article
![]() A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems
(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
![]() Introducción a la optimización infinito dimensional
(2017-06-01)
El objetivo de este trabajo es obtener un resultado general acerca de la existencia de solución de problemas de minimización ... |
Article
![]() Γ-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients
(Elsevier, 2017-03-01)
The present paper deals with the asymptotic behavior of equi-coercive sequences {Fn} of nonlinear functionals defined over ... |
PhD Thesis
![]() Problemas de homogeneización con alto contraste
(2016-12-02)
El objetivo de esta tesis es estudiar la homogeneización de sistemas de ecuaciones en derivadas parciales elípticas. ... |
Article
![]() A characterization result for the existence of a two-phase material minimizing the first eigenvalue
(Elsevier, 2016-09-19)
Given two isotropic homogeneous materials represented by two constants 0 <α< | |, we consider here the problem consisting ... |
Article
![]() A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian
(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 ... |
Article
![]() A corrector for a wave problem with periodic coefficients in a 1D bounded domain
(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 ... |
Article
![]() Smoothness properties for the optimal mixture of two isotropic materials the compliance and eigenvalue problems
(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 ... |
Article
![]() The behavior of a beam fixed on small sets of one of its extremities
(AIMS, 2014-10-01)
In this paper we study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity ... |
Article
![]() Homogenization of systems with equi-integrable coefficients
(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 ... |
Article
![]() Homogenization of convex functionals which are weakly coercive and not equi-bounded from above
(Elsevier, 2013-08-01)
This paper deals with the homogenization of nonlinear convex energies defined in W_{0}^{1,1}(\Omega )W01,1(Ω), for a regular ... |
Article
![]() Homogenization and correctors for monotone problems in cylinders of small diameter
(Elsevier, 2013-06-01)
In this paper we study the homogenization of monotone diffusion equations posed in an N-dimensional cylinder which converges ... |
Article
![]() 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, 2013-01-01)
We study the asymptotic behavior of the solutions of the Navier–Stokes system in a thin domain Ωε of thickness ε satisfying ... |
Presentation
![]() Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains
(Computational and Mathematical Methods in Science and Engineering, 2013-01-01)
|
Presentation |
Article
![]() Homogenization of stiff plates and two-dimensional high-viscosity Stokes equations
(Springer, 2012-09-01)
The paper deals with the homogenization of rigid heterogeneous plates. Assuming that the coefficients are equi-bounded in ... |
Article
![]() On the Navier boundary condition for viscous fluids in rough domains
(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
![]() Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas
(2011-02-18)
Un problema importante en mecánica de fluidos consiste en la elección adecuada de las condiciones de frontera. Una hipótesis ... |
Article
![]() Homogenization and corrector for the wave equation with discontinuous coefficients in time
(Elsevier, 2011-01-28)
In this paper we analyze the homogenization of the wave equation with bounded variation coefficients in time, generalizing ... |
Article
![]() Numerical approximation of a one-dimensional elliptic optimal design problem
(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
![]() Estimate of the pressure when its gradient is the divergence of a measure. Applications
(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 ... |
Article
![]() A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary
(ScienceDirect, 2010-08-11)
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 ... |
Article
![]() A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary
(Elsevier, 2010-08-11)
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 ... |
Article
![]() The div-curl lemma “trente ans après”: an extension and an application to the G-convergence of unbounded monotone operators
(Elsevier, 2009-05-01)
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 ... |
Article
![]() Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets
(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 ... |
Article
![]() Homogenization of non-uniformly bounded periodic diffusion energies in dimension two
(IOP Publishing, 2009-01-01)
This paper deals with the homogenization of two-dimensional oscillating convex functionals, the densities of which are ... |
Article
![]() Uniform convergence of sequences of solutions of two-dimensional linear elliptic equations with unbounded coefficients
(Elsevier, 2008-10-15)
This paper deals with the behavior of two-dimensional linear elliptic equations with unbounded (and possibly infinite) ... |
Article
![]() Relaxation of a control problem in the coefficients with a functional of quadratic growth in the gradient
(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
![]() Relajación de problemas de control en los coeficientes con un funcional dependiendo del gradiente
(2007-09-01)
Se considera un problema de diseño ´optimo consistente en mezclar dos materiales (eléctricos o térmicos) anisótropos de ... |
Presentation
![]() Comportamiento asintótico de una viga elástica fijada en pequeñas zonas de uno de sus extremos
(2007-09-01)
Estudiamos el comportamiento asintótico de una viga elástica delgada cuando su anchura, ε, tiende a cero. La viga está ... |
Article
![]() Asymptotic behaviour of equicoercive diffusion energies in dimension two
(Springer, 2007-08-01)
In this paper, we study the asymptotic behaviour of a given equicoercive sequence of diffusion energies Fn, n ∈ N, defined ... |
Article
![]() Nonlocal limits in the study of linear elliptic systems arising in periodic homogenization
(Elsevier, 2007-07-01)
In the present paper, we obtain the two-scale limit system of a sequence of linear elliptic periodic problems with varying ... |
Article
![]() Two-Dimensional Div-Curl Results: Application to the Lack of Nonlocal Effects in Homogenization
(Taylor & Francis, 2007-06-06)
In this paper, we study the asymptotic behaviour of sequences of conduction problems and sequences of the associated ... |
Article
![]() Uniqueness results for pseudomonotone problems with p>2
(French Academy of Sciences, 2007-01-30)
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 ... |
Article
![]() Finite elements approximation of second order linear elliptic equations in divergence formwith right-hand side in L1
(Springer, 2007-01-01)
In this paper we consider, in dimension d≥ 2, the standard P1P1 finite elements approximation of the second order linear ... |
Article
![]() Homogenization of Dirichlet parabolic problems for coefficients and open sets simultaneously variable and applications to optimal design
(Elsevier, 2006-07-15)
In a previous paper, we studied the homogenization of a sequence of parabolic linear Dirichlet problems, when the coefficients ... |
Article
![]() Exponential decay for the solutions of nonlinear elliptic systems posed in unbounded cylinders☆
(Elsevier, 2006-06-12)
We study the asymptotic behavior at infinity of the solutions of a nonlinear elliptic system posed in a cylinder of infinite ... |
Article
![]() A density result for the variation of a material with respect to small inclusions
(Elsevier, 2006-03-01)
We consider the family of materials obtained, via homogenization, by replacing a small portion, of size ɛ, of a fixed ... |
Article
![]() A density result for the variation of a material with respect to small inclusions
(Elsevier, 2006-03-01)
We consider the family of materials obtained, via homogenization, by replacing a small portion, of size ɛ, of a fixed ... |
Article
![]() Homogenization of very thin elastic reticulated structures
(De Gruyter, 2005-10-01)
This work is devoted to the homogenization of the anisotropic, linearized elasticity system posed on thin reticulated ... |
Article
![]() Asymptotic behaviour of linear Dirichlet parabolic problems with variable operators depending on time in varying domains
(Elsevier, 2005-06-01)
We study the asymptotic behaviour of the solutions of linear parabolic Dirichlet problems when the coefficients and the ... |
Article
![]() Lack of compactness in two-scale convergence
(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 ... |
Article
![]() Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities
(Elsevier, 2004-06-15)
We study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity problem in a ... |
Article
![]() Asymptotic behavior of diffusion problems in a domain made of two cylinders of different diameters and lengths
(Elsevier, 2004-01-15)
We study the asymptotic behavior of the solution of a diffusion problem posed in the union of a cylinder of small diameter and ... |
Article
![]() Optimality conditions for nonconvex multistate control problems in the coefficients
(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) ... |
Article
![]() Why viscous fluids adhere to rugose walls
(Elsevier, 2003-04-10)
The main purpose of this paper is to justify rigorously the following assertion: A viscous fluid cannot slip on a wall ... |
Chapter of Book
![]() Numerical solution of a Laplace equation with data in L1
(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. ... |
PhD Thesis
![]() Homogeneización de problemas de Dirichlet para dominios y coeficientes simultáneamente variables
(2003-01-01)
En esta memoria se estudia el comportamiento asintótico de las soluciones de ecuaciones en derivadas parciales de tipo ... |
PhD Thesis
![]() Homogeneización de estructuras reticuladas: un método multiescala
(2003-01-01)
En la Memoria se introduce un nuevo método para estudiar el comportamiento asintótico de las soluciones de problemas en ... |
Article
![]() Results on existence of solution for an optimal design problem
(Universidad de Extremadura, 2003-01-01)
In this paper we study a control problem for elliptic nonlinear monotone problems with Dirichlet boundary conditions where ... |
Article
![]() The two-scale convergence method applied to generalized Besicovitch spaces
(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. ... |
Article
![]() Why viscous fluids adhere to rugose walls: A mathematical explanation
(ScienceDirect, 2002-04-29)
The main purpose of this paper is to justify rigorously the following assertion: A viscous fluid cannot slip on a wall ... |
Article
![]() The limit of Dirichlet systems for variable monotone operators in general perforated domains
(Elsevier, 2001-11-15)
We study the asymptotic behaviour of the solutions of nonlinear Dirichlet systems when the operators and the open sets ... |
Presentation
![]() Efecto de la rugosidad en el deslizamiento de un fluido sobre una pared
(2001-01-01)
Recordamos resultados y presentamos problemas abiertos acerca de la influencia del perfil y la rugosidad de un cuerpo ... |
Article
![]() Algunos trabajos relacionados con la teoría de E.D.P. y su homogeneización
(Sociedad Española de Matemática Aplicada, 2000-12-01)
|
Article
![]() Asymptotic behavior of nonlinear elliptic systems on varying domains
(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 |
Article
![]() Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains
(Elsevier, 1997-05-01)
In this paper, we study the homogenization of a Dirichlet problem in perforated domains for an operator which is the ... |
Article
![]() Homogenization of a quasi-linear problem with quadratic growth in perforated domains: An example
(Elsevier, 1997-01-01)
We study the homogenization of Dirichlet problems for a fixed quasi-linear operator which is the perturbation of the Laplace ... |
Article
![]() Existence of a sequence satisfying Cioranescu-Murat conditions in homogenization of Dirichlet problems in perforated domains
(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
![]() Sobre la homogeneización de problemas no coercivos y problemas en dominios con agujeros
(1993-11-26)
En esta memoria se estudian dos problemas. El primero hace referencia a la relajación de un funcional energía sobre el ... |