MARTÍN GÓMEZ , José Domingo

• Esta memoria estudia un problema de control geométrico asociado a un problema de Stefan, en principio se estudia la inecuación variacional asociada al problema de Stefan. Después de dar distintas nociones de regularidad de un dominio y de definir varias familias de dominios admisibles se dan teoremas de existencia de dominio optimo en dichas...

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 parameters. In every case, we obtain a limit problem where both the microscopic and macroscopic scales appear together. From...

On considère une famille de matériaux obtenus par homogénéisation consistant à remplacer une petite partie de matériau, de taille ɛ, par d'autres matériaux. Dans un article antérieur on a caractérisé un sous-ensemble de l'ensemble des « dérivées », par rapport à ɛ de cette famille, pour ɛ . Dans cette Note on démontre que ce sous-ensemble est...

On considère une famille de matériaux obtenus par homogénéisation consistant à remplacer une petite partie de matériau, de taille ɛ, par d'autres matériaux. Dans un article antérieur on a caractérisé un sous-ensemble de l'ensemble des « dérivées », par rapport à ɛ de cette famille, pour ɛ . Dans cette Note on démontre que ce sous-ensemble est...

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 H-convergence, we give a method to obtain admissible directions which applies to a not-necessarily convex control set. Our...

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 no solution in general, and then it is necessary to introduce a relaxed formulation. Here we prove that this relaxation is...

Se considera un problema de diseño ´optimo consistente en mezclar dos materiales (eléctricos o térmicos) anisótropos de tal forma que se inimice un funcional coste dependiente del gradiente de la función estado. En general, este tipo de problemas no admite solución, lo que obliga a introducir una formulación relajada. Mostramos en este trabajo...

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 and uniqueness result for a general sort of hyperbolic equations. Then, we obtain our homogenization result comparing the...

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 time one. Our purpose is to find not only the corresponding limit equation but a corrector, i.e. a strong approximation in the...

An unconventional application of switched-capacitor (SC) circuits is discussed. A systematic method for the design of piecewise-linear (PL) parasitic-insensitive SC chaotic discrete maps is given. A simple circuit which generates a random one-bit digital sequence is reported. Simulation results show that the random behavior is not significantly...