This review presents a methodology for, and basic theoretical and experimental results on,
the effect of the electric field on dielectric liquids with free surfaces (plane surfaces, menisci …

Waves with constant vorticity and electrohydrodynamics flows are two topics in fluid
dynamics that have attracted much attention from scientists for both the mathematical …

This review presents a systematic summary of the information collected to date on the
instability and reconstruction of the flat charged surface of a cryogenic liquid under various …

Relative motion of the normal and superfluid components of helium II results in the quantum
Kelvin-Helmholtz instability (KHI) at their common free surface. We found the integrability …

We address the problem of the potential motion of an ideal incompressible fluid with a free
surface and infinite depth in a two-dimensional geometry. We admit the presence of gravity …

We consider the Euler equations for the potential flow of an ideal incompressible fluid of
infinite depth with a free surface in two-dimensional geometry. Both gravity and surface …

Harmonic moments are integrals of integer powers of z= x+ iy over a domain. Here, the
domain is an exterior of a bubble of air growing in an oil layer between two horizontal …

This work presents the results of a direct numerical simulation of the nonlinear free surface
evolution of a finite-depth fluid with a linear shear flow under the action of horizontal electric …

The nonlinear dynamics of the interface between two deep dielectric fluids in the presence
of a vertical electric field is studied. We consider the limit of a strong external electric field …

The evolution of the interface between two ideal dielectric liquids in a strong vertical electric
field is studied. If the ratio of the permittivities of the liquids is inversely proportional to their …