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Artículo
A maximum principle for the Muskat problem for fluids with different densities
(Springer, 2009-03)
We consider the fluid interface problem given by two incompressible fluids with different densities evolving by Darcy’s law. This scenario is known as the Muskat problem for fluids with the same viscosities, being in two ...
Artículo
Existence for the α-patch model and the QG sharp front in Sobolev spaces
(Elsevier, 2008-04-01)
We consider a family of contour dynamics equations depending on a parameter α with 0<α⩽1. The vortex patch problem of the 2-D Euler equation is obtained taking α→0, and the case α=1 corresponds to a sharp front of the QG ...
Artículo
A spatio-temporal design problem for a damped wave equation
(Society for Industrial and Applied Mathematics, 2007)
We analyze in this work a spatio-temporal optimal design problem governed by a linear damped one-dimensional wave equation. The problem consists of simultaneously seeking the spatio-temporal layout of two isotropic materials ...
Artículo
Optimal design under the one-dimensional wave equation
(European Mathematical Society, 2008)
An optimal design problem governed by the wave equation is examined in detail. Specifically, we seek the time-dependent optimal layout of two isotropic materials on a 1-d domain by minimizing a functional depending ...