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Artículo
Homogenization and corrector for the wave equation with discontinuous coefficients in time
(Elsevier, 2011-01-28)
In this paper we analyze the homogenization of the wave equation with bounded variation coefficients in time, generalizing the classical result, which assumes Lipschitz-continuity. We start showing a general existence ...
Artículo
A density result for the variation of a material with respect to small inclusions
(Elsevier, 2006-03-01)
We consider the family of materials obtained, via homogenization, by replacing a small portion, of size ɛ, of a fixed material by other materials. In a previous paper we have obtained a subset of the set of ‘derivatives’ ...
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 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
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
A density result for the variation of a material with respect to small inclusions
(Elsevier, 2006-03-01)
We consider the family of materials obtained, via homogenization, by replacing a small portion, of size ɛ, of a fixed material by other materials. In a previous paper we have obtained a subset of the set of ‘derivatives’ ...
Artículo
Relaxation of a control problem in the coefficients with a functional of quadratic growth in the gradient
(Society for Industrial and Applied Mathematics, 2008)
We study an optimal design problem consisting in mixing two anisotropic (electric or thermal) materials in order to minimize a functional depending on the gradient of the state. It is known that this type of problem has ...