NameLuna Laynez, Manuel
DepartmentEcuaciones Diferenciales y Análisis Numérico
Knowledge areaAnálisis Matemático
Professional categoryProfesor Titular de Universidad
E-mailRequest
           
  • No. publications

    18

  • No. visits

    2315

  • No. downloads

    4006


 

Final Degree Project
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El problema de la braquistócrona discreta

Luna Laynez, Manuel; Luna Laynez, Manuel; Marrero Hernández, Silvia; Marrero Hernández, Silvia (2022)
En 1696 Johann Bernoulli planteó un problema a la comunidad científica: Dados dos puntos a distintas alturas, ¿qué recorrido ...
Final Degree Project
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Introducción a la optimización infinito dimensional

Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel; Peña Gallardo, Miguel; Peña Gallardo, Miguel (2017)
El objetivo de este trabajo es obtener un resultado general acerca de la existencia de solución de problemas de minimización ...
Article
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Γ-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients

Briane, Marc; Briane, Marc; Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel; Pallares Martín, Antonio Jesús; Pallares Martín, Antonio Jesús (Elsevier, 2017)
The present paper deals with the asymptotic behavior of equi-coercive sequences {Fn} of nonlinear functionals defined over ...
PhD Thesis
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Problemas de homogeneización con alto contraste

Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel; Pallares Martín, Antonio Jesús; Pallares Martín, Antonio Jesús (2016)
El objetivo de esta tesis es estudiar la homogeneización de sistemas de ecuaciones en derivadas parciales elípticas. ...
Article
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The behavior of a beam fixed on small sets of one of its extremities

Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel; Murat, François; Murat, François (AIMS, 2014)
In this paper we study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity ...
Article
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Asymptotic behavior of the Navier-Stokes system in a thin domain with Navier condition on a slightly rough boundary

Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel; Suárez Grau, Francisco Javier; 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 ...
Presentation
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Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains

Hamilton, I.P.; Hamilton, I.P.; Vigo Aguiar, Jesús; Vigo Aguiar, Jesús; Calvo Jurado, Carmen; Calvo Jurado, Carmen; Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel (Computational and Mathematical Methods in Science and Engineering, 2013)
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On the Navier boundary condition for viscous fluids in rough domains

Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel; Suárez Grau, Francisco Javier; Suárez Grau, Francisco Javier (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 ...
PhD Thesis
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Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas

Luna Laynez, Manuel; Luna Laynez, Manuel; Casado Díaz, Juan; Casado Díaz, Juan; Suárez Grau, Francisco Javier; Suárez Grau, Francisco Javier (2011)
Un problema importante en mecánica de fluidos consiste en la elección adecuada de las condiciones de frontera. Una hipótesis ...
Article
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Numerical approximation of a one-dimensional elliptic optimal design problem

Casado Díaz, Juan; Casado Díaz, Juan; Castro Barbero, Carlos Manuel; Castro Barbero, Carlos Manuel; Luna Laynez, Manuel; Luna Laynez, Manuel; Zuazua Iriondo, Enrique; 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 ...
Article
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A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary

Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel; Suárez Grau, Francisco Javier; Suárez Grau, Francisco Javier (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 ...
Article
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A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary

Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel; Suárez Grau, Francisco Javier; Suárez Grau, Francisco Javier (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 ...
Article
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Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets

Calvo Jurado, Carmen; Calvo Jurado, Carmen; Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; 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 ...
Presentation
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Comportamiento asintótico de una viga elástica fijada en pequeñas zonas de uno de sus extremos

Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel; Murat, François; Murat, François (2007)
Estudiamos el comportamiento asintótico de una viga elástica delgada cuando su anchura, ε, tiende a cero. La viga está ...
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Homogenization of very thin elastic reticulated structures

Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel; Martín Gómez, José Domingo; Martín Gómez, José Domingo (De Gruyter, 2005)
This work is devoted to the homogenization of the anisotropic, linearized elasticity system posed on thin reticulated ...
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Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities

Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel; Murat, François; Murat, François (Elsevier, 2004)
We study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity problem in a ...
Article
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Asymptotic behavior of diffusion problems in a domain made of two cylinders of different diameters and lengths

Casado Díaz, Juan; Casado Díaz, Juan; Luna Laynez, Manuel; Luna Laynez, Manuel; Murat, François; Murat, François (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 ...
PhD Thesis
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Homogeneización de estructuras reticuladas: un método multiescala

Casado Díaz, Juan; Casado Díaz, Juan; Martín Gómez, José Domingo; Martín Gómez, José Domingo; Luna Laynez, Manuel; Luna Laynez, Manuel (2003)
En la Memoria se introduce un nuevo método para estudiar el comportamiento asintótico de las soluciones de problemas en ...