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Browsing by Author "Luna Laynez, Manuel"
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Article
A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary
Casado Díaz, Juan; Luna Laynez, Manuel; Suárez Grau, Francisco Javier (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 ...
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Article
A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary
Casado Díaz, Juan; Luna Laynez, Manuel; Suárez Grau, Francisco Javier (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, ...
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Article
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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Article
Asymptotic behavior of diffusion problems in a domain made of two cylinders of different diameters and lengths
Casado Díaz, Juan; Luna Laynez, Manuel; Murat, François (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 ...
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Article
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)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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Article
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)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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PhD Thesis
Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas
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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Presentation
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)Estudiamos el comportamiento asintótico de una viga elástica delgada cuando su anchura, ε, tiende a cero. La viga está ...
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PhD Thesis
Homogeneización de estructuras reticuladas: un método multiescala
Luna Laynez, Manuel (2003)En la Memoria se introduce un nuevo método para estudiar el comportamiento asintótico de las soluciones de problemas en ...
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Presentation
Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains
Calvo Jurado, Carmen; Casado Díaz, Juan; Luna Laynez, Manuel (Computational and Mathematical Methods in Science and Engineering, 2013) -
Article
Homogenization of very thin elastic reticulated structures
Casado Díaz, Juan; Luna Laynez, Manuel; Martín Gómez, José Domingo (De Gruyter, 2005-10)This work is devoted to the homogenization of the anisotropic, linearized elasticity system posed on thin reticulated ...
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Final Degree Project
Introducción a la optimización infinito dimensional
Peña Gallardo, Miguel (2017-06)El objetivo de este trabajo es obtener un resultado general acerca de la existencia de solución de problemas de minimización ...
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Article
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)We address the numerical approximation by finite-element methods of an optimal design problem for a two phase material in ...
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Article
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)In this paper we review some recent results concerning the study of the asymptotic behavior of viscous fluids in rough ...
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Final Degree Project
El problema de la braquistócrona discreta
Marrero Hernández, Silvia (2022)En 1696 Johann Bernoulli planteó un problema a la comunidad científica: Dados dos puntos a distintas alturas, ¿qué ...
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PhD Thesis
Problemas de homogeneización con alto contraste
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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Article
The behavior of a beam fixed on small sets of one of its extremities
Casado Díaz, Juan; Luna Laynez, Manuel; Murat, François (AIMS, 2014-10)In this paper we study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity ...
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Article
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)The present paper deals with the asymptotic behavior of equi-coercive sequences {Fn} of nonlinear functionals defined over ...