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Artículo
Estimate of the pressure when its gradient is the divergence of a measure. Applications
(EDP Sciences, 2011)
In this paper, a W−1,N estimate of the pressure is derived when its gradient is the divergence of a matrix-valued measure on RN , or on a regular bounded open set of RN . The proof is based partially on the Strauss inequality ...
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 ...
Tesis Doctoral
Comportamiento asintótico de fluidos viscosos con condiciones de deslizamiento sobre fronteras rugosas
(2011-02-18)
Un problema importante en mecánica de fluidos consiste en la elección adecuada de las condiciones de frontera. Una hipótesis comúnmente aceptada es que si la frontera del dominio es impermeable entonces un fluido viscoso ...
Artículo
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 one space dimension. This problem, in the continuous setting, due to high frequency oscillations, ...