Few physical scientists interested in the mathematical description of fluid flows will know
what a quadrature domain is; just as few mathematicians interested in quadrature domain …

The dynamics of the development of instability of the free surface of liquid helium, which is
charged by electrons localized above it, is studied. It is shown that, if the charge completely …

A wide class of exact solutions is obtained for the problem of finding the equilibrium
configurations of charged jets of a conducting liquid; these configurations correspond to the …

The nonlinear dynamics of the free surface of a liquid metal in a strong vertical electric field
is considered. It is shown for the case of a horizontally bounded geometry that a fairly large …

The possibility of the appearance of microirregularities on the surface of a liquid metal under
the action of a radio frequency electric field is investigated as applied to the conditions of the …

Two different physical problems are considered: the magnetic shaping of a liquid metal
column and the distortion of a bubble in a corner vortex flow. It is shown that the two …

Solutions for the problem on the equilibrium configurations of uncharged conducting liquid
jets in a transverse electric field are obtained. These solutions correspond to finite-amplitude …

We consider conical structures appearing on the free surface of a liquid with ionic
conductivity in an applied electric field. An exact self-similar solution for the electric field …

Exact solutions are obtained for the problem of an equilibrium configuration of an uncharged
cylindrical jet of a conducting liquid in a transverse electric field. The transverse cross …

A jet of an ideal incompressible conducting liquid with a uniformly charged surface is
considered. The jet moves at a constant velocity along the symmetry axis of its unperturbed …