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Artículo
A corrector for a wave problem with periodic coefficients in a 1D bounded domain
(EDP Sciences, 2015)
We consider a wave problem posed in a bounded open interval of R, where the coefficients, the initial conditions and the right-hand side are highly oscillating, periodic in the space variable and almost periodic in the ...
Artículo
Homogenization and correctors for monotone problems in cylinders of small diameter
(Elsevier, 2013-06-01)
In this paper we study the homogenization of monotone diffusion equations posed in an N-dimensional cylinder which converges to a (one-dimensional) segment line. In other terms, we pass to the limit in diffusion monotone ...
Artículo
Homogenization of stiff plates and two-dimensional high-viscosity Stokes equations
(Springer, 2012-09)
The paper deals with the homogenization of rigid heterogeneous plates. Assuming that the coefficients are equi-bounded in L1, we prove that the limit of a sequence of plate equations remains a plate equation which involves ...
Artículo
The two-scale convergence method applied to generalized Besicovitch spaces
(The Royal Society, 2002-12-08)
The two-scale convergence method has proved to be a very useful tool for dealing with periodic homogenization problems. In the present paper we develop this theory to generalized Besicovitch spaces, which include the ...
Artículo
Finite elements approximation of second order linear elliptic equations in divergence formwith right-hand side in L1
(Springer, 2007-01)
In this paper we consider, in dimension d≥ 2, the standard P1P1 finite elements approximation of the second order linear elliptic equation in divergence form with coefficients in L∞(Ω) which generalizes Laplace’s equation. ...
Artículo
Homogenization of very thin elastic reticulated structures
(De Gruyter, 2005-10)
This work is devoted to the homogenization of the anisotropic, linearized elasticity system posed on thin reticulated structures involving several parameters. We show that the result depends on the relative size of the ...
Artículo
Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities
(Elsevier, 2004-06-15)
We study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity problem in a cylinder whose diameter ε tends to zero. The cylinder is assumed to be fixed (homogeneous Dirichlet ...
Artículo
Optimality conditions for nonconvex multistate control problems in the coefficients
(Society for Industrial and Applied Mathematics, 2004)
The purpose of this paper is to attain some optimality conditions for the identification of a diffusion matrix (material) under several restrictions. Assuming that the set of such diffusion matrices is closed for the ...
Artículo
Why viscous fluids adhere to rugose walls: A mathematical explanation
(ScienceDirect, 2002-04-29)
The main purpose of this paper is to justify rigorously the following assertion: A viscous fluid cannot slip on a wall covered by microscopic asperities because, due to the viscous dissipation, the surface irregularities ...
Artículo
Asymptotic behavior of diffusion problems in a domain made of two cylinders of different diameters and lengths
(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 fixed length with another cylinder with much smaller diameter and length. The Dirichlet condition ...