139 citations · 833 across the 40 of their papers we have counts for
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math.AP2015
Global regularity for 2D Muskat equations with finite slope
Peter Constantin, Francisco Gancedo, Roman Shvydkoy +1
We consider the 2D Muskat equation for the interface between two constant density fluids in an incompressible porous medium, with velocity given by Darcy's law. We establish that a…
math.AP2015
Splash singularities for the free boundary Navier-Stokes equations
Angel Castro, Diego Córdoba, Charles Fefferman +2
In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Navier-Stokes equations, for which the smoothness of the interface breaks down…