5 papers
A strong approximation in L2 for the solutions of the Maxwell system with highly oscillating periodic coefficients
Juan Casado-Díaz, Nourelhouda Khedhiri, Mohamed Lazhar Tayeb
We consider a Maxwell system on with periodic and highly oscillating coefficients. It is known that the solutions converge in the weak- topology of $L^\infty(0…
An elliptic problem in dimension N with a varying drift term bounded in
Juan Casado-Díaz
The present paper is devoted to study the asymptotic behavior of a sequence of linear elliptic equations with a varying drift term, whose coefficients are just bounded in ,…
A viscoelastic model for skin via homogenization theory
Juan Casado-Díaz
We carry out the homogenization of a fluid-structure interaction problem consisting in the periodic inclusions of a viscous fluid in an elastic body. We get a macrostructure model…
The maximization of the p-Laplacian energy for a two-phase material
Juan Casado-Díaz, Carlos Conca, Donato Vásquez-Varas
We consider the optimal arrangement of two diffusion materials in a bounded open set in order to maximize the energy. The diffusion problem is modeled by th…
On existence of optimal potentials on unbounded domains
Giuseppe Buttazzo, Juan Casado-díaz, Faustino Maestre
We consider elliptic equations of Schrödinger type with a right-hand side fixed and with the linear part of order zero given by a potential V . The main goal is to study the optimi…