Capillary analogue of the “dead water” effect in a stratified liquid with a charged interface

In terms of a linear mathematical model of a capillary-gravitational flow in a two-layer liquid with a finite-thickness upper layer, it is shown analytically that an analogue of the dead water phenomenon exists in the domain of capillary waves, which was previously observed only in gravitational waves. This phenomenon shows up as an exponential increase in the capillary wave amplitude at the interface with the surface tension coefficient at the interface tending to zero. It is found that an external electric field displaces this phenomenon toward the range of finite surface tension coefficients.