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math.AP2013
An aggregation equation with a nonlocal flux
Rafael Granero-Belinchón, Rafael Orive Illera
In this paper we study an aggregation equation with a general nonlocal flux. We study the local well-posedness and some conditions ensuring global existence. We are also interested…
math.AP2012
The confined Muskat problem: differences with the deep water regime
Diego Córdoba Gazolaz, Rafael Granero-Belinchón, Rafael Orive Illera
We study the evolution of the interface given by two incompressible fluids with different densities in the porous strip $\RR\times[-l,l]$. This problem is known as the Muskat probl…