Origin of ejecta in the water impact problem

In this work we present a new analysis of the early time evolution of ejecta -- jet forming during the impact of a flat plate on the surface of an incompressible viscous liquid. The key goals here are to clarify the effects of viscosity and surface tension. In the course of construction of the solution, first the standard assumptions behind the existence of the inviscid approximation are revisited. Second, scalings of the structure of the solution near the plate edge are determined, with which the viscous solution in the Stokes approximation near the edge is constructed analytically. Third, the structure of a uniformly valid solution matching the Stokes solution to the inviscid one is revealed here. Finally, the analysis of both viscous and inviscid solutions allows us to uncover the scalings for the early time-evolution of the ejecta.