46 citations · 49 across the 5 of their papers we have counts for
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math.AP2007★ 46 cited
A maximum principle for the Muskat problem for fluids with different densities
Diego Cordoba, Francisco Gancedo
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…
math.AP2007
Formation of singularities for a transport equation with nonlocal velocity
Antonio Cordoba, Diego Cordoba, Marco A. Fontelos
We study a 1D transport equation with nonlocal velocity and show the formation of singularities in finite time for a generic family of initial data. By adding a diffusion term the…