A Generalized Beale-Kato-Majda Breakdown Criterion for the free-boundary problem in Euler Equations with Surface Tension

Chenyun Luo, Kai Zhou

It is shown in Ferrari \cite{Ferrari-1993CMP} that if $[0,T^{\ast })$ is the maximal time interval of existence of a smooth solution of the incompressible Euler equations in a bounded,…