On the existence of stationary splash singularities for the Euler equations

In this paper we discuss the existence of stationary incompressible fluids with splash singularities. Specifically, we show that there are stationary solutions to the Euler equations with two fluids whose interfaces are arbitrarily close to a splash, and that there are stationary water waves with splash singularities.Comment: 19 page

On the search for singularities in incompressible flows

summary:In these notes we give some examples of the interaction of mathematics with experiments and numerical simulations on the search for singularities