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Electromagnetic radiation of a nonlinearly oscillating charged drop
Nonlinear oscillations of a charged drop caused by a multimode initial deformation of the equilibrium spherical shape are studied using an asymptotic analytical technique. It is shown that, when theExpand
On internal nonlinear resonant interaction of capillary-gravitational waves on the flat surface of a viscous liquid
Mechanisms behind internal nonlinear resonant interaction of periodic capillary-gravitational waves on the uniformly charged flat surface of an infinitely deep viscous conducting liquid areExpand
Centrosymmetric acoustic emission from a nonlinearly oscillating charged drop
Oscillations of a charged drop of an incompressible liquid have been calculated to within the second order of smallness relative to the oscillation amplitude. It is predicted that a monopoleExpand
On the internal nonlinear resonance of capillary-gravitational waves on the charged surface of a deep viscous liquid
AbstractAn analytical expression for the profile of a periodic wave of finite amplitude on the surface of a deep viscous conducting liquid is obtained for the first time. The formula admits theExpand
On the internal nonlinear resonant three-mode interaction of charged drop oscillations
The difference between internal nonlinear three-mode degenerate and Raman resonances is found for the first time: in the former case, the energy spent on the initial deformation of a drop is onlyExpand
The acoustic emission from a nonlinearly oscillating charged drop
A charged drop oscillating in a compressible medium is capable of emitting acoustic waves. According to calculations in the constant drop volume approximation linear in the oscillation amplitude, theExpand
Convective flows in a layer of a viscous liquid with the uniformly charged free surface
It is found theoretically that the critical conditions under which a charged liquid surface becomes unstable against the electric charge relax as a result of interaction betweenExpand
Nonlinear periodic waves on the charged free surface of a perfect fluid
Analytical expressions for the profile of a nonlinear wave and for a nonlinear correction to its frequency are derived in the fourth-order approximation in amplitude of a periodic traveling wave on aExpand
Mass Transfer Induced by a Wave Perturbation on the Surface of the Velocity Field Tangential Discontinuity
An analytical asymptotic model of relative mass transfer in a system of two ideal immiscible unmixed liquids with a capillary gravitational periodic wave propagating over the interface has beenExpand
Nonlinear analysis of the time evolution of an unstable flat charged fluid surface
Nonlinear second-and fourth-order corrections to the critical Tonks-Frenkel parameter (which characterizes the stability of the uniformly charged flat surface of an ideal conducting incompressibleExpand
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