139 citations · 833 across the 40 of their papers we have counts for
3 papers · 2 filters
Splash singularities for the one-phase Muskat problem in stable regimes
Angel Castro, Diego Cordoba, Charles Fefferman +1
This paper shows finite time singularity formation for the Muskat problem in a stable regime. The framework we found is with a dry region, where the density and the viscosity are s…
On the Muskat problem: global in time results in 2D and 3D
Peter Constantin, Diego Cordoba, Francisco Gancedo +2
This paper considers the three dimensional Muskat problem in the stable regime. We obtain a conservation law which provides an maximum principle for the fluid interface. We a…
Absence of splash singularities for SQG sharp fronts and the Muskat problem
Francisco Gancedo, Robert M. Strain
In this paper for either the sharp front Surface Quasi-Geostrophic equation or the Muskat problem we rule out the "splash singularity" blow-up scenario; in other words we prove tha…