  It is shown in Ferrari \cite{Ferrari-1993CMP} that if $[0, T^*)$ is the
maximal time interval of existence of a smooth solution of the incompressible
Euler equations in a bounded, simply-connected domain in $\mathbb{R}^3$, then
$\int_0^{T^*}\|\omega(t,\cdot)\|_{L^\infty}dt=+\infty$, where $\omega$ is the
vorticity of the flow. Ferrari's result generalizes the classical
Beale-Kato-Majda \cite{BKM-1984CMP}'s breakdown criterion in the case of a
bounded fluid domain.
  In this manuscript, we show a breakdown criterion for a smooth solution of
the Euler equations describing the motion of an incompressible fluid in a
bounded domain in $\mathbb{R}^3$ with a free surface boundary. The fluid is
under the influence of surface tension. In addition, we show that our breakdown
criterion reduces to the one proved by Ferrari \cite{Ferrari-1993CMP} when the
free surface boundary is fixed. Specifically, the additional control norms on
the moving boundary will either become trivial or stop showing up if the
kinematic boundary condition on the moving boundary reduces to the slip
boundary condition.
