instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
Miembro ordinario
 Situación profesional: Catedrático Despacho: Facultad de Matemáticas Departamento: Ecuaciones Diferenciales y Análisis Numérico Teléfono: 954557998

#### Proyectos del Plan Nacional I+D+i

 MTM2014-53309-P Homogeneización de Edp. Aplicación al Modelado y Diseño Óptimo Responsable MTM2011-24457 Análisis Asintótico y Control de Problemas de la Mecánica de Medios Continuos. Estudio Teórico y Numérico Responsable MTM2008-00306 Comportamiento asintótico de ecuaciones en derivadas parciales. Problemas de diseño óptimo Responsable MTM2005-04914 Análisis asintótico de ecuaciones en derivadas parciales y problemas de control asociados Responsable

#### Grupo PAIDI - Plan Andaluz de Investigación, Desarrollo e Innovación

 FQM309 Control y Homogeneización de Ecuaciones en Derivadas Parciales Responsable

#### Listado de Artículos (46)

• Briane, M.; Casado-Díaz, J.; Luna-Laynez, M.; Pallares-Martín, A.. $\Gamma$-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods (2017)
• Calvo-Jurado, Carmen; Casado-Díaz, Juan; Luna-Laynez, Manuel. Homogenization of nonlinear Dirichlet problems in random perforated domains. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods (2016)
• Briane, M., Casado Díaz, J.. A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian,. Journal of Differential Equations (2016)
• Briane, Marc; Casado-Díaz, Juan. A Class of Second-Order Linear Elliptic Equations with Drift: Renormalized Solutions, Uniqueness and Homogenization. Potential Analysis (2015)
• Casado-Díaz, Juan; Couce-Calvo, Julio; Maestre, Faustino; Martín-Gómez, José D. A corrector for a wave problem with periodic coefficients in a 1D bounded domain. ESAIM - Control, Optimisation and Calculus of Variations (2015)
• Casado-Díaz, Juan. Smoothness properties for the optimal mixture of two isotropic materials: The compliance and eigenvalue problems. Siam Journal on Control and Optimization (2015)
• Casado-Díaz, Juan. Some smoothness results for classical problems in optimal design and applications. Chinese Annals of Mathematics. Series B (2015)
• Calvo-Jurado, Carmen; Casado-Díaz, Juan; Luna-Laynez, Manuel. Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains. Journal of Computational and Applied Mathematics (2015)
• Boccardo, Lucio; Casado-Díaz, Juan. $G$-convergence in a semilinear problem with a $W^{1,1}_0$ solution. Asymptotic Analysis (2015)
• Boccardo, Lucio; Casado-Díaz, Juan. Some properties of solutions of some semilinear elliptic singular problems and applications to the $G$-convergence. Asymptotic Analysis (2014)
• Casado-Díaz, Juan; Couce-Calvo, Julio; Maestre, Faustino; Martín Gómez, José D. Homogenization and correctors for the wave equation with periodic coefficients. Mathematical Models & Methods in Applied Sciences (2014)
• Casado-Díaz, Juan; Luna-Laynez, Manuel; Murat, Francois. The behavior of a beam fixed on small sets of one of its extremities. Discrete and Continuous Dynamical Systems (2014)
• Casado-Díaz, Juan. Some smoothness results for the optimal design of a two-composite material which minimizes the energy. Calculus of Variations and Partial Differential Equations (2014)
• Briane, Marc; Casado-Díaz, Juan. Homogenization of systems with equi-integrable coefficients. ESAIM - Control, Optimisation and Calculus of Variations (2014)
• Calvo Jurado, Carmen; Casado Díaz, Juan; Luna Laynez, Manuel. The homogenization of the heat equation with mixed conditions on randomly subsets of the boundary. Discrete and Continuous Dynamical Systems (2013)
• Casado-Díaz, Juan; Murat, François; Sili, Ali. Homogenization and correctors for monotone problems in cylinders of small diameter. Annales de l'Institut Henri Poincare. Analyse Non Lineaire (2013)
• Casado-Díaz, J.; Luna-Laynez, M.; Suárez-Grau, F.J. The homogenization of elliptic partial differential systems on rugous domains with variable boundary conditions. Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2013)
• Casado-Díaz, J.; Luna-Laynez, M.; Suárez-Grau, F.J. Asymptotic behavior of the Navier-Stokes system in a thin domain with Navier condition on a slightly rough boundary. Siam Journal on Mathematical Analysis (2013)
• Briane, Marc; Casado-Díaz, Juan. Homogenization of convex functionals which are weakly coercive and not equi-bounded from above. Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (2013)
• J. Casado-Díaz, M. Luna-Laynez, F.J. Suárez-Grau. On the Navier boundary condition for viscous fluids in rough domains. SeMA Journal (2012)
• M. Briane; J. Casado-Díaz. Homogenization of stiff plates and two-dimensional high-viscosity Stokes equations. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2012)
• Juan Casado Díaz, Manuel Luna Laynez, Francisco Javier Suarez Grau. Estimates for the asymptotic expansion of a viscous fluid satisfying Navier's law on a rugous boundary. Mathematical Methods in the Applied Sciences (2011)
• M. Briane; J. Casado-Díaz. Estimate of the pressure when its gradient is the divergence of a measure. Application to the Navier-Stokes equation. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2011)
• Faustino Maestre Caballero, Juan Casado Díaz, Julio Couce Calvo, José Domingo Martín Gómez. Homogenization and Corrector for the Wave Equation With Discontinuous coefficients in Time. Journal of Mathematical Analysis and Applications (2011)
• J. Casado-Díaz, C. Castro, M. Luna-Laynez, E. Zuazua. Numerical approximation of a one-dimensional elliptic optimal design problem. MULTISCALE MODELING & SIMULATION (2011)
• Juan Casado Díaz, Manuel Luna Laynez, Francisco Javier Suarez Grau. A Viscous Fluid in a Thin Domain Satisfying the Slip Condition on a Slightly rough Boundary. COMPTES RENDUS MATHEMATIQUE (2010)
• Juan Casado Díaz, Manuel Luna Laynez, Francisco Javier Suarez Grau. Asymptotic Behavior of a Viscous Fluid With Slip Boundary Conditions on a Slightly Rough Wall. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2010)
• Lucio Boccardo, Juan Casado Díaz. H-Convergence of Singular Solutions of Some Dirichlet Problems With Terms of Order One, À François Murat Pour Ses 60 Ans. Asymptotic Analysis (2009)
• Carmen Calvo Jurado, Juan Casado Díaz, Manuel Luna Laynez. Asymptotic Behavior of Nonlinear Systems in Varying Domains With Boundary Conditions on Varying Sets. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2009)
• Andrea Braides, Marc Briane, Juan Casado Díaz. Homogenization of Non-Uniformly Bounded Periodic Diffusion Energies in Dimension Two. Nonlinearity (2009)
• Marc Briane, Juan Casado Díaz, Francois Murat. The Div-Curl Lemma "Trente Ans Après": an Extension and an Application to the G-Convergence of Unbounded Monotone Operators. Journal de Mathematiques Pures Et Appliquees (2009)
• Marc Briane; Juan Casado Díaz. 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 (2008)
• Marc Briane; Juan Casado Díaz. Uniform Convergence of Sequences of Solutions of Two-Dimensional Linear Elliptic Equations With Unbounded Coefficients. Journal of Differential Equations (2008)
• Juan Casado Díaz, Julio Couce Calvo, Manuel Luna Laynez, José Domingo Martín Gómez. Optimal Design Problems for a Non-Linear Cost in the Gradient: Numerical Results. Applicable Analysis (2008)
• Juan Casado Díaz, Manuel Luna Laynez, Francois Murat. The Diffusion Equation in a Notched Beam. Calculus of Variations and Partial Differential Equations (2008)
• Juan Casado Díaz. The Asymptotic Behaviour Near the Boundary of Periodic Homogenization Problems Via Two-Scale Convergence. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS (2008)
• Juan Casado Díaz, Julio Couce Calvo, José Domingo Martín Gómez. Relaxation of a Control Problem in the Coefficients With a Functional of Quadratic Growth in the Gradient. Siam Journal on Control and Optimization (2008)
• Carmen Calvo Jurado, Juan Casado Díaz. Nonlocal Limits in the Study of Linear Elliptic Systems Arising in Periodic Homogenization. Journal of Computational and Applied Mathematics (2007)
• Juan Casado Díaz, Francois Murat, Alessio Porretta. Uniqueness Results for Pseudomonotone Problems With P>2. COMPTES RENDUS MATHEMATIQUE (2007)
• Marc Briane; Juan Casado Díaz. Asymptotic Behaviour of Equicoercive Diffusion Energies in Dimension Two. Calculus of Variations and Partial Differential Equations (2007)
• Marc Briane; Juan Casado Díaz. Two-Dimensional Div-Curl Results: Application to the Lack of Nonlocal Effects in Homogenization. Communications in Partial Differential Equations (2007)
• Juan Casado Díaz, Tomas Chacon Rebollo, Vivette Girault, Macarena Gomez Marmol, Francois Murat. Finite Elements Approximation of Second Order Linear Elliptic Equations in Divergence Form With Right-Hand Side in L1. Numerische Mathematik (2007)
• Carmen Calvo Jurado, Juan Casado Díaz, Manuel Luna Laynez. Homogenization of Elliptic Problems With the Dirichlet and Neumann Conditions Imposed on Varying Subsets. Mathematical Methods in the Applied Sciences (2007)
• Juan Casado Díaz. Exponential Decay for the Solutions of Nonlinear Elliptic Systems Posed in Unbounded Cylinders. Journal of Mathematical Analysis and Applications (2007)
• Carmen Calvo Jurado, Juan Casado Díaz. Optimization by the Homogenization Method for Nonlinear Elliptic Dirichlet Systems. Mediterranean Journal of Mathematics (2007)
• Carmen Calvo Jurado, Juan Casado Díaz, Manuel Luna Laynez. Parabolic Problems With Varying Operators and Dirichlet and Neumann Boundary Conditions on Varying Sets. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2007)

#### Libros y capítulos (7)

• Couce Calvo,J.; Martín Gómez, J.D; Casado Díaz, J.. A corrector result for the wave equation with high oscillating periodic coefficients. Springer (2014)
• J. Casado-Díaz, M. Luna-Laynez, F.J. Suárez-Grau. Effect of roughness on the flow of a fluid against periodic and non-periodic rough boundaries.. Springer (2013)
• Carmen Calvo-Jurado; Juan Casado-Díaz & Manuel Luna-Laynez. Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains. (2013)
• Juan Casado Díaz; Manuel Luna Laynez ; Francisco Javier Suarez Grau. Effect of roughness on the flow of a fluid against periodic and non-periodic rough boundaries. Springer (2013)
• C. Calvo-Jurado, J. Casado-Díaz, M. Luna-Laynez. Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains. (2013)
• Carmen Calvo-Jurado; Juan Casado-Díaz & Manuel Luna-Laynez. Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains. (2013)
• Juan Casado Díaz; Manuel Luna Laynez ; Francisco Javier Suarez Grau. Effect of roughness on the flow of a fluid against periodic and non-periodic rough boundaries. Springer (2013)

#### Aportaciones a congresos (6)

• Casado-Díaz, J.. Some smoothness results for classical problems in optimal design and applications. Conference on nonlinear and multiscale partial differential equations: Theory, numeric and applications. (2013)
• Casado-Díaz, J.. About the asymptotic behaviour of a thin fluid with a free boundary. Third congress on thin structures (2013)
• Casado-Díaz, J.. Some smoothness results for classical problems in optimal design and applications. Jornada científica en homenaje al profesor José Real Anguas (2013)
• Casado-Díaz, J.. Some estimates for the pressure when its gradient is in $W^{-1,1}$ and applications in homogenization. 8th Conference on Applied Mathematics and Scientific Computing (2013)
• Casado-Díaz, J.. Some estimates for the pressure when its gradient is in $W^{-1,1}$ and applications in homogenization. Fluid mechanics and singular integrals (2013)
• Casado-Díaz, J.. Some smoothness results for classical problems in optimal design and applications. Partial Differential Equations, Optimal Design and Numerics (2013)

LEYENDA

Arxiv
Doi
MathSciNet
Scopus
Citas
,,, Cuartiles
 $\Gamma$-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients Briane, M., Casado-Díaz, J., Luna-Laynez, M., Pallares-Martín, A., Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 2017 - 0 Enlaces Homogenization of nonlinear Dirichlet problems in random perforated domains Calvo-Jurado, Carmen, Casado-Díaz, Juan, Luna-Laynez, Manuel, Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 2016 - 0 Enlaces A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian, Briane, M, Casado Díaz, J., Journal of Differential Equations 2016 - 1 Enlaces Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains Calvo-Jurado, Carmen, Casado-Díaz, Juan, Luna-Laynez, Manuel, Journal of Computational and Applied Mathematics 2015 - 1 Enlaces $G$-convergence in a semilinear problem with a $W^{1,1}_0$ solution Boccardo, Lucio, Casado-Díaz, Juan, Asymptotic Analysis 2015 - 0 Enlaces A Class of Second-Order Linear Elliptic Equations with Drift: Renormalized Solutions, Uniqueness and Homogenization Briane, Marc, Casado-Díaz, Juan, Potential Analysis 2015 - 0 Enlaces A corrector for a wave problem with periodic coefficients in a 1D bounded domain Casado-Díaz, Juan, Couce-Calvo, Julio, Maestre, Faustino, Martín-Gómez, José D., ESAIM - Control, Optimisation and Calculus of Variations 2015 - 0 Enlaces Smoothness properties for the optimal mixture of two isotropic materials: The compliance and eigenvalue problems Casado-Díaz, Juan, Siam Journal on Control and Optimization 2015 - 0 Enlaces Some smoothness results for classical problems in optimal design and applications Casado-Díaz, Juan, Chinese Annals of Mathematics. Series B 2015 - 0 Enlaces Homogenization of systems with equi-integrable coefficients Briane, Marc, Casado-Díaz, Juan, ESAIM - Control, Optimisation and Calculus of Variations 2014 - 1 Enlaces Some properties of solutions of some semilinear elliptic singular problems and applications to the $G$-convergence Boccardo, Lucio, Casado-Díaz, Juan, Asymptotic Analysis 2014 - 2 Enlaces Homogenization and correctors for the wave equation with periodic coefficients Casado-Díaz, Juan, Couce-Calvo, Julio, Maestre, Faustino, Martín Gómez, José D., Mathematical Models & Methods in Applied Sciences 2014 - 1 Enlaces The behavior of a beam fixed on small sets of one of its extremities Casado-Díaz, Juan, Luna-Laynez, Manuel, Murat, Francois, Discrete and Continuous Dynamical Systems 2014 - 0 Enlaces Some smoothness results for the optimal design of a two-composite material which minimizes the energy Casado-Díaz, Juan, Calculus of Variations and Partial Differential Equations 2014 - 2 Enlaces The homogenization of the heat equation with mixed conditions on randomly subsets of the boundary Calvo Jurado, Carmen, Casado Díaz, Juan, Luna Laynez, Manuel, Discrete and Continuous Dynamical Systems 2013 - 1 Enlaces The homogenization of elliptic partial differential systems on rugous domains with variable boundary conditions Casado-Díaz, J., Luna-Laynez, M., Suárez-Grau, F.J., Proceedings of the Royal Society of Edinburgh: Section A Mathematics 2013 - 3 Enlaces Asymptotic behavior of the Navier-Stokes system in a thin domain with Navier condition on a slightly rough boundary Casado-Díaz, J., Luna-Laynez, M., Suárez-Grau, F.J., Siam Journal on Mathematical Analysis 2013 - 7 Enlaces Homogenization and correctors for monotone problems in cylinders of small diameter Casado-Díaz, Juan, Murat, François, Sili, Ali, Annales de l'Institut Henri Poincare. Analyse Non Lineaire 2013 - 0 Enlaces Homogenization of convex functionals which are weakly coercive and not equi-bounded from above Briane, Marc, Casado-Díaz, Juan, Annales de l'Institut Henri Poincaré. Analyse Non Linéaire 2013 - 1 Enlaces On the Navier boundary condition for viscous fluids in rough domains J. Casado-Díaz, M. Luna-Laynez, F.J. Suárez-Grau, SeMA Journal 2012 - 0 Enlaces Homogenization of stiff plates and two-dimensional high-viscosity Stokes equations M. Briane, J. Casado-Díaz, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 2012 - 0 Enlaces Numerical approximation of a one-dimensional elliptic optimal design problem J. Casado-Díaz, C. Castro, M. Luna-Laynez, E. Zuazua, MULTISCALE MODELING & SIMULATION 2011 - 4 Enlaces Estimates for the asymptotic expansion of a viscous fluid satisfying Navier's law on a rugous boundary Juan Casado Díaz, Manuel Luna Laynez, Francisco Javier Suarez Grau, Mathematical Methods in the Applied Sciences 2011 - 2 Enlaces Estimate of the pressure when its gradient is the divergence of a measure. Application to the Navier-Stokes equation M. Briane, J. Casado-Díaz, ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 2011 - 2 Enlaces Homogenization and Corrector for the Wave Equation With Discontinuous coefficients in Time Faustino Maestre Caballero, Juan Casado Díaz, Julio Couce Calvo, José Domingo Martín Gómez, Journal of Mathematical Analysis and Applications 2011 - 4 Enlaces Asymptotic Behavior of a Viscous Fluid With Slip Boundary Conditions on a Slightly Rough Wall Juan Casado Díaz, Manuel Luna Laynez, Francisco Javier Suarez Grau, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 2010 - 14 Enlaces A Viscous Fluid in a Thin Domain Satisfying the Slip Condition on a Slightly rough Boundary Juan Casado Díaz, Manuel Luna Laynez, Francisco Javier Suarez Grau, COMPTES RENDUS MATHEMATIQUE 2010 - 5 Enlaces Asymptotic Behavior of Nonlinear Systems in Varying Domains With Boundary Conditions on Varying Sets Carmen Calvo Jurado, Juan Casado Díaz, Manuel Luna Laynez, ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 2009 - 0 Enlaces Homogenization of Non-Uniformly Bounded Periodic Diffusion Energies in Dimension Two Andrea Braides, Marc Briane, Juan Casado Díaz, Nonlinearity 2009 - 2 Enlaces The Div-Curl Lemma "Trente Ans Après": an Extension and an Application to the G-Convergence of Unbounded Monotone Operators Marc Briane, Juan Casado Díaz, Francois Murat, Journal de Mathematiques Pures Et Appliquees 2009 - 7 Enlaces H-Convergence of Singular Solutions of Some Dirichlet Problems With Terms of Order One, À François Murat Pour Ses 60 Ans Lucio Boccardo, Juan Casado Díaz, Asymptotic Analysis 2009 - 0 Enlaces The Diffusion Equation in a Notched Beam Juan Casado Díaz, Manuel Luna Laynez, Francois Murat, Calculus of Variations and Partial Differential Equations 2008 - 4 Enlaces The Asymptotic Behaviour Near the Boundary of Periodic Homogenization Problems Via Two-Scale Convergence Juan Casado Díaz, PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 2008 - 3 Enlaces Relaxation of a Control Problem in the Coefficients With a Functional of Quadratic Growth in the Gradient Juan Casado Díaz, Julio Couce Calvo, José Domingo Martín Gómez, Siam Journal on Control and Optimization 2008 - 6 Enlaces Compactness of Sequences of Two-Dimensional Energies With a Zero-Order Term: Application to Three-Dimensional Nonlocal Effects Marc Briane, Juan Casado Díaz, Calculus of Variations and Partial Differential Equations 2008 - 4 Enlaces Uniform Convergence of Sequences of Solutions of Two-Dimensional Linear Elliptic Equations With Unbounded Coefficients Marc Briane, Juan Casado Díaz, Journal of Differential Equations 2008 - 3 Enlaces Optimal Design Problems for a Non-Linear Cost in the Gradient: Numerical Results Juan Casado Díaz, Julio Couce Calvo, Manuel Luna Laynez, José Domingo Martín Gómez, Applicable Analysis 2008 - 0 Enlaces Finite Elements Approximation of Second Order Linear Elliptic Equations in Divergence Form With Right-Hand Side in L1 Juan Casado Díaz, Tomas Chacon Rebollo, Vivette Girault, Macarena Gomez Marmol, Francois Murat, Numerische Mathematik 2007 - 0 Enlaces Exponential Decay for the Solutions of Nonlinear Elliptic Systems Posed in Unbounded Cylinders Juan Casado Díaz, Journal of Mathematical Analysis and Applications 2007 - 0 Enlaces Optimization by the Homogenization Method for Nonlinear Elliptic Dirichlet Systems Carmen Calvo Jurado, Juan Casado Díaz, Mediterranean Journal of Mathematics 2007 - 0 Enlaces Nonlocal Limits in the Study of Linear Elliptic Systems Arising in Periodic Homogenization Carmen Calvo Jurado, Juan Casado Díaz, Journal of Computational and Applied Mathematics 2007 - 0 Enlaces Uniqueness Results for Pseudomonotone Problems With P>2 Juan Casado Díaz, Francois Murat, Alessio Porretta, COMPTES RENDUS MATHEMATIQUE 2007 - 0 Enlaces Asymptotic Behaviour of Equicoercive Diffusion Energies in Dimension Two Marc Briane, Juan Casado Díaz, Calculus of Variations and Partial Differential Equations 2007 - 0 Enlaces Two-Dimensional Div-Curl Results: Application to the Lack of Nonlocal Effects in Homogenization Marc Briane, Juan Casado Díaz, Communications in Partial Differential Equations 2007 - 0 Enlaces Homogenization of Elliptic Problems With the Dirichlet and Neumann Conditions Imposed on Varying Subsets Carmen Calvo Jurado, Juan Casado Díaz, Manuel Luna Laynez, Mathematical Methods in the Applied Sciences 2007 - 0 Enlaces Parabolic Problems With Varying Operators and Dirichlet and Neumann Boundary Conditions on Varying Sets Carmen Calvo Jurado, Juan Casado Díaz, Manuel Luna Laynez, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2007 - 0 Enlaces