139 citations · 833 across the 40 of their papers we have counts for
3 papers · 2 filters
Finite time singularities for water waves with surface tension
Angel Castro, Diego Córdoba, Charles Fefferman +2
Here we consider the 2D free boundary incompressible Euler equation with surface tension. We prove that the surface tension does not prevent a finite time splash or splat singulari…
On a singular incompressible porous media equation
Susan Friedlander, Francisco Gancedo, Weiran Sun +1
In this paper we study a singularly modified version of the incompressible porous media equation. We investigate the implications for the local well-posedness of the equations by m…
Breakdown of smoothness for the Muskat problem
Angel Castro, Diego Cordoba, Charles Fefferman +1
In this paper we show that there exist analytic initial data in the stable regime for the Muskat problem such that the solution turns to the unstable regime and later breaks down i…