1112.2170 (Angel Castro et al.)

Finite time singularities for the free boundary incompressible Euler
equations    [PDF]

Angel Castro, Diego Córdoba, Charles Fefferman, Francisco Gancedo, Javier Gómez-Serrano

In this paper, we prove the existence of smooth initial data for the 2D free
boundary incompressible Euler equations (also known for some particular
scenarios as the water wave problem), for which the smoothness of the interface
breaks down in finite time into a splash singularity or a splat singularity.

View original: http://arxiv.org/abs/1112.2170