139 citations · 833 across the 40 of their papers we have counts for
4 papers · 2 filters
Turning waves and breakdown for incompressible flows
Angel Castro, Diego Cordoba, Charles Fefferman +2
We consider the evolution of an interface generated between two immiscible incompressible and irrotational fluids. Specifically we study the Muskat and water wave problems. We show…
On the global existence for the Muskat problem
Peter Constantin, Diego Cordoba, Francisco Gancedo +1
The Muskat problem models the dynamics of the interface between two incompressible immiscible fluids with different constant densities. In this work we prove three results. First w…
Porous media: the Muskat problem in 3D
Antonio Cordoba, Diego Cordoba, Francisco Gancedo
The Muskat problem involves filtration of two incompressible fluids throughout a porous medium. In this paper we shall discuss in 3-D the relevance of the Rayleigh-Taylor condition…
Singularity Formation in a Surface Wave Model
Angel Castro, Diego Cordoba, Francisco Gancedo
In this paper we study the Burgers equation with a nonlocal term of the form where is the Hilbert transform. This system has been considered as a quadratic approximation f…