Author profile: Luna Laynez, Manuel
Institutional data
| Name | Luna Laynez, Manuel |
| Department | Ecuaciones Diferenciales y Análisis Numérico |
| Knowledge area | Análisis Matemático |
| Professional category | Profesor Titular de Universidad |
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Statistics
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No. publications
18
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No. visits
2315
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No. downloads
4006
| Publications |
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Final Degree Project
 El problema de la braquistócrona discreta
(2022)
En 1696 Johann Bernoulli planteó un problema a la comunidad científica: Dados dos puntos a distintas alturas, ¿qué recorrido ... |
Final Degree Project
Introducción a la optimización infinito dimensional
(2017)
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)
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)
El objetivo de esta tesis es estudiar la homogeneización de sistemas de ecuaciones en derivadas parciales elípticas. ... |
Article
The behavior of a beam fixed on small sets of one of its extremities
(AIMS, 2014)
In this paper we study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity ... |
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)
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)
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Article
On the Navier boundary condition for viscous fluids in rough domains
(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
Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas
(2011)
Un problema importante en mecánica de fluidos consiste en la elección adecuada de las condiciones de frontera. Una hipótesis ... |
Article
Numerical approximation of a one-dimensional elliptic optimal design problem
(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
A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary
(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
A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary
(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
Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets
(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
Comportamiento asintótico de una viga elástica fijada en pequeñas zonas de uno de sus extremos
(2007)
Estudiamos el comportamiento asintótico de una viga elástica delgada cuando su anchura, ε, tiende a cero. La viga está ... |
Article
Homogenization of very thin elastic reticulated structures
(De Gruyter, 2005)
This work is devoted to the homogenization of the anisotropic, linearized elasticity system posed on thin reticulated ... |
Article
Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities
(Elsevier, 2004)
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)
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
Homogeneización de estructuras reticuladas: un método multiescala
(2003)
En la Memoria se introduce un nuevo método para estudiar el comportamiento asintótico de las soluciones de problemas en ... |