Juan Casado Díaz

Catedrático de Universidad
jcasadod@us.es
Área de conocimiento: Análisis Matemático
Departamento: Ecuaciones Diferenciales y Análisis Num.
Grupo: CONTROL Y HOMOGENEIZACIÓN DE ECUACIONES EN DERIVADAS PARCIALES (FQM-309)
Instituto de Inv.: IMUS
Prog. doctorado: Programa de Doctorado en Matemáticas (RD. 99/2011)
Tipo Año Título Fuente
Artículo2022 Minimization of the p-Laplacian first eigenvalue for a two-phase material JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Artículo2021 A justification of the Darcy law for a suspension of not self-similar solid particles non-periodically distributed JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Artículo2021 Increase of mass and nonlocal effects in the homogenization of magneto-elastodynamics problems CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Artículo2021 On the existence of optimal potentials on unbounded domains SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Artículo2021 The maximization of the p-Laplacian energy for a two-phase material SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Artículo2020 A decomposition result for the pressure of a fluid in a thin domain and extensions to elasticity problems SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Artículo2020 An optimal design problem for a two-phase isolating material in the wall of a cavity NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Artículo2020 Homogenization of an elastodynamic system with a strong magnetic field and soft inclusions inducing a viscoelastic effective behavior JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Artículo2020 Semilinear problems with right-hand sides singular at u = 0 which change sign ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Artículo2019 A Brinkman law in the homogenization of the stationary Navier-Stokes system in a non-periodic porous medium JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Artículo2019 An elliptic equation in an unbounded cylinder: applications to the behavior of a wave in a thin beam with boundary conditions REVISTA MATEMATICA COMPLUTENSE
Artículo2018 A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Artículo2017 A characterization result for the existence of a two-phase material minimizing the first eigenvalue ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Artículo2017 Gamma-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Artículo2016 A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2016 Homogenization of nonlinear Dirichlet problems in random perforated domains NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Artículo2015 A Class of Second-Order Linear Elliptic Equations with Drift: Renormalized Solutions, Uniqueness and Homogenization POTENTIAL ANALYSIS
Artículo2015 A corrector for a wave problem with periodic coefficients in a 1d bounded domain ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
Artículo2015 G-convergence in a semilinear problem with a W-0(1,1) solution ASYMPTOTIC ANALYSIS
Artículo2015 Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Artículo2015 SMOOTHNESS PROPERTIES FOR THE OPTIMAL MIXTURE OF TWO ISOTROPIC MATERIALS: THE COMPLIANCE AND EIGENVALUE PROBLEMS SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Artículo2015 Some Smoothness Results for Classical Problems in Optimal Design and Applications CHINESE ANNALS OF MATHEMATICS SERIES B
Artículo2015 Some smoothness results for the optimal design of a two-composite material which minimizes the energy CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Artículo2014 A corrector result for thewave equation with high oscillating periodic coefficients ADVANCES IN DIFFERENTIAL EQUATIONS AND APPLICATIONS
Artículo2014 Homogenization and correctors for the wave equation with periodic coefficients MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Artículo2014 HOMOGENIZATION OF SYSTEMS WITH EQUI-INTEGRABLE COEFFICIENTS ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
Artículo2014 Some properties of solutions of some semilinear elliptic singular problems and applications to the G-convergence ASYMPTOTIC ANALYSIS
Artículo2014 THE BEHAVIOR OF A BEAM FIXED ON SMALL SETS OF ONE OF ITS EXTREMITIES DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Artículo2013 ASYMPTOTIC BEHAVIOR OF THE NAVIER-STOKES SYSTEM IN A THIN DOMAIN WITH NAVIER CONDITION ON A SLIGHTLY ROUGH BOUNDARY SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Ponencia2013 Effect of Roughness on the Flow of a Fluid Against Periodic and Nonperiodic Rough Boundaries DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS
Artículo2013 Homogenization and correctors for monotone problems in cylinders of small diameter ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Artículo2013 Homogenization of convex functionals which are weakly coercive and not equi-bounded from above ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Artículo2013 The homogenization of elliptic partial differential systems on rugous domains with variable boundary conditions PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Artículo2013 The homogenization of the heat equation with mixed conditions on randomly subsets of the boundary DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
Artículo2012 Homogenization of Stiff Plates and Two-Dimensional High-Viscosity Stokes Equations ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Artículo2012 ON THE NAVIER BOUNDARY CONDITION FOR VISCOUS FLUIDS IN ROUGH DOMAINS Boletín de la Sociedad Española de Matemática Aplicada
Ponencia2011 Asymptotic Behavior of a Viscous Fluid Near a Rough Boundary BAIL 2010 - BOUNDARY AND INTERIOR LAYERS, COMPUTATIONAL AND ASYMPTOTIC METHODS
Libro2011 Asymptotic behavior of viscous fluids in rough domains Asymptotic behavior of viscous fluids in rough domains
Artículo2011 ESTIMATE OF THE PRESSURE WHEN ITS GRADIENT IS THE DIVERGENCE OF A MEASURE. APPLICATIONS ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
Artículo2011 Estimates for the asymptotic expansion of a viscous fluid satisfying Navier's law on a rugous boundary MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Artículo2011 Homogenization and corrector for the wave equation with discontinuous coefficients in time JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Artículo2011 NUMERICAL APPROXIMATION OF A ONE-DIMENSIONAL ELLIPTIC OPTIMAL DESIGN PROBLEM MULTISCALE MODELING & SIMULATION
Artículo2010 A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary COMPTES RENDUS MATHEMATIQUE
Artículo2010 ASYMPTOTIC BEHAVIOR OF A VISCOUS FLUID WITH SLIP BOUNDARY CONDITIONS ON A SLIGHTLY ROUGH WALL MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Ponencia2010 Asymptotic behavior of the Stokes system in a thin film flow with a rough boundary Numerical simulation in Physics and Engineering: proceedings of the XIV Spanish-French Jacques-Louis Lions School : (A Coruña, Spain, September 6-10th, 2010)
Ponencia2010 Discretization of Coefficient Control Problems with a Nonlinear Cost in the Gradient INTEGRAL METHODS IN SCIENCE AND ENGINEERING VOL 2: COMPUTATIONAL METHODS
Ponencia2009 AN EASY-TO-USE FRAMEWORK FOR BRACHYTHERAPY MC DOSE CALCULATIONS, WITH SEED IDENTIFICATION AND REAL SEED GEOMETRY RADIOTHERAPY AND ONCOLOGY
Artículo2009 ASYMPTOTIC BEHAVIOR OF NONLINEAR SYSTEMS IN VARYING DOMAINS WITH BOUNDARY CONDITIONS ON VARYING SETS ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
Artículo2009 H-convergence of singular solutions of some Dirichlet problems with terms of order one ASYMPTOTIC ANALYSIS
Artículo2009 Homogenization of non-uniformly bounded periodic diffusion energies in dimension two NONLINEARITY
Artículo2009 The div-curl lemma "trente ans apres": an extension and an application to the G-convergence of unbounded monotone operators JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
Artículo2008 Compactness of sequences of two-dimensional energies with a zero-order term. Application to three-dimensional nonlocal effects CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Artículo2008 Optimal design problems for a non-linear cost in the gradient: numerical results APPLICABLE ANALYSIS
Ponencia2008 PSI Solution of Convection-Diffusion Equations with Data in L-1 NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS
Artículo2008 Relaxation of a control problem in the coefficients with a functional of quadratic growth in the gradient SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Artículo2008 The asymptotic behaviour near the boundary of periodic homogenization problems via two-scale convergence PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Artículo2008 The diffusion equation in a notched beam CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Artículo2008 Uniform convergence of sequences of solutions of two-dimensional linear elliptic equations with unbounded coefficients JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2007 Asymptotic behaviour of equicoercive diffusion energies in dimension two CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Artículo2007 Exponential decay for the solutions of nonlinear elliptic systems posed in unbounded cylinders JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Artículo2007 Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in L-1 NUMERISCHE MATHEMATIK
Artículo2007 Homogenization of elliptic problems with the Dirichlet and Neumann conditions imposed on varying subsets MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Artículo2007 Nonlocal limits in the study of linear elliptic systems arising in periodic homogenization JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Artículo2007 Optimization by the homogenization method for nonlinear elliptic Dirichlet systems MEDITERRANEAN JOURNAL OF MATHEMATICS
Artículo2007 Parabolic problems with varying operators and dirichlet and Neumann boundary conditions on varying sets DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Artículo2007 Two-dimensional div-curl results: Application to the lack of nonlocal effects in homogenization COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Artículo2007 Uniqueness results for pseudomonotone problems with p > 2 COMPTES RENDUS MATHEMATIQUE
Artículo2006 A density result for the variation of a material with respect to small inclusions COMPTES RENDUS MATHEMATIQUE
Artículo2006 A rigorous asymptotic expansion for a control problem in a thin domain ASYMPTOTIC ANALYSIS
Artículo2006 Homogenization of Dirichlet parabolic problems for coefficients and open sets simultaneously variable and applications to optimal design JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Artículo2005 Asymptotic behaviour of linear Dirichlet parabolic problems with variable operators depending on time in varying domains JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Artículo2005 Lack of compactness in two-scale convergence SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Artículo2004 An existence result for control problems on the coefficients and the domain for nonlinear parabolic Dirichlet problems COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Artículo2004 Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities COMPTES RENDUS MATHEMATIQUE
Artículo2004 Asymptotic behavior of diffusion problems in a domain made of two cylinders of different diameters and lengths COMPTES RENDUS MATHEMATIQUE
Artículo2004 Homogenization of the anisotropic heterogeneous linearized elasticity system in thin reticulated structures PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Artículo2004 Optimality conditions for nonconvex multistate control problems in the coefficients SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Capítulo2004 Uniqueness and the Neumann condition and comparison results for Dirichlet pseudo-monotone problems The first 60 years of nonlinear analysis of Jean Mawhin
Artículo2003 Existence and comparison of maximal and minimal solutions for pseudomonotone elliptic problems in L NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Artículo2003 Homogenization of Dirichlet parabolic systems with variable monotone operators in general perforated domains PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Ponencia2003 Numerical solution of a Laplace equation with data in L1 VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques :Jaca, Spain, September 15-17, 2003
Artículo2003 Results on existence of solution for an optimal design problem Extracta Mathematicae
Artículo2003 Why viscous fluids adhere to rugose walls: A mathematical explanation JOURNAL OF DIFFERENTIAL EQUATIONS
Artículo2002 A derivation theory for generalized Besicovitch spaces and its application for partial differential equations PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Artículo2002 Asymptotic behaviour of nonlinear problems in periodically perforated domains. The case p = N ASYMPTOTIC ANALYSIS
Artículo2002 The limit of Dirichlet systems for variable monotone operators in general perforated domains JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
Artículo2002 The two-scale convergence method applied to generalized Besicovitch spaces PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Artículo2001 An adaptation of the multi-scale methods for the analysis of very thin reticulated structures COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
Ponencia2001 Convergencia en dos escalas para problemas de Dirichlet en dominios perforados periódicos XVII Congreso de Ecuaciones Diferenciales y Aplicaciones, VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001
Ponencia2001 Efecto de la rugosidad en el deslizamiento de un fluido sobre una pared XVII Congreso de Ecuaciones Diferenciales y Aplicaciones, VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001
Capítulo2001 Homogeneización de estructuras reticuladas Actas del Encuentro de Matemáticos Andaluces
Ponencia2001 Homogeneización de problemas de Dirichlet para operadores monótonos en abiertos variables XVII Congreso de Ecuaciones Diferenciales y Aplicaciones, VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001
Capítulo2001 Homogeneización de problemas no periódicos mediante la convergencia en dos escalas Actas del Encuentro de Matemáticos Andaluces
Artículo2001 Minimal and maximal solutions for Dirichlet pseudomonotone problems NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Capítulo2001 Sobre el control de la matriz de difusión Actas del Encuentro de Matemáticos Andaluces
Ponencia2001 Sobre la identificación de la matriz de difusión mediante varios experimentos XVII Congreso de Ecuaciones Diferenciales y Aplicaciones, VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001
Artículo2001 The capacity for pseudomonotone operators POTENTIAL ANALYSIS
Ponencia2001 Un método multi-escalas para el análisis de estructuras reticuladas XVII Congreso de Ecuaciones Diferenciales y Aplicaciones, VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001
Artículo2000 Algunos trabajos relacionados con la teoría de E.D.P. y su homogeneización Boletín de la Sociedad Española de Matemática Aplicada
Artículo2000 Asymptotic behavior of nonlinear elliptic systems on varying domains SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Artículo2000 Homogenization of Dirichlet pseudomonotone problems with renormalized solutions in perforated domains JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
Artículo2000 Two-scale convergence for nonlinear Dirichlet problems in perforated domains PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Ponencia1999 Condiciones de optimalidad para problemas de control en los coeficientes XVI CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones ; VI CMA Congreso de Matemática Aplicada: Actas. Las Palmas de Gran Canaria, 21-24 septiembre 1999
Ponencia1999 Espacios de Besicovitch generalizados XVI CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones ; VI CMA Congreso de Matemática Aplicada: Actas. Las Palmas de Gran Canaria, 21-24 septiembre 1999
Ponencia1999 Existencia de soluciones minimales y maximales para operadores pseudomonótonos XVI CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones ; VI CMA Congreso de Matemática Aplicada: Actas. Las Palmas de Gran Canaria, 21-24 septiembre 1999
Artículo1999 Relaxation of a quadratic functional defined by a nonnegative unbounded matrix POTENTIAL ANALYSIS
Ponencia1998 Un teorema de compacidad y su aplicación a la convergencia en dos escalas XV Congreso de ecuaciones diferenciales y aplicaciones, V Congreso de Matemática Aplicada : Vigo, 23-26 septiembre 1997
Artículo1997 Homogenisation of Dirichlet problems for monotone operators in varying domains PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Artículo1997 Homogenization of a quasi-linear problem with quadratic growth in perforated domains: An example ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Artículo1997 Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
Artículo1996 A general compactness result and its application to the two-scale convergence of almost periodic functions COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE

Proyectos de Investigación

Fecha de inicio Fecha de fin Rol Denominación Agencia financiadora
01/01/2018 30/09/2021 Responsable Problemas de Homogeneización y Diseño Óptimo Relacionados con la Mecánica de Medios Continuos. (MTM2017-83583-P) Ministerio de Economía y Competitividad (Nacional)
01/01/2009 31/12/2011 Responsable Comportamiento asintótico de ecuaciones en derivadas parciales. Problemas de diseño optimo (MTM2008-00306) Ministerio de Ciencia e Innovación (Nacional)
01/01/2015 31/12/2018 Responsable Homogeneización de Edp. Aplicación al Modelado y Diseño Óptimo (MTM2014-53309-P) Ministerio de Economía y Competitividad (Nacional)
31/12/2005 31/12/2008 Responsable Análisis asintótico de ecuaciones en derivadas parciales y problemas de control asociados (MTM2005-04914) Ministerio de Educación y Ciencia (Nacional)
01/01/2012 30/09/2015 Responsable Análisis Asintótico y Control de Problemas de la Mecánica de Medios Continuos. Estudio Teórico y Numérico. (MTM2011-24457) Ministerio de Ciencia e Innovación (Nacional)
01/01/2003 31/12/2005 Responsable Homogeneización de ecuaciones en derivadas parciales aplicación a problemas de diseño óptimo (BFM2002-00672) Ministerio de Ciencia y Tecnología (Nacional)
11/03/2009 31/01/2010 Investigador/a Realización de actividades dentro del proyecto Consolider "Ingenio Mathematica" (CSD2006-00032) (CSD2006-00032-II) Universidad de Cantabria (Nacional)

Ayudas

Fecha de inicio Fecha de fin Rol Denominación Agencia financiadora
17/09/2007 21/09/2007 Responsable XX Congreso de Ecuaciones Diferenciales y Aplicciones. X Congreso de Matemáticas Aplicada (MTM2005-25582-E) Ministerio de Educación y Ciencia (Nacional)