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math.AP2010★ 22 cited
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…
math.AP2010★ 49 cited
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…