Modeling the dynamics of a charged drop of a viscous liquid

We consider a mathematical model of motion, conducting drops of a viscous fluid, immersed in a dielectric viscous fluid of infinite length and changing under the influence of capillarity and electrostatic repulsion. Using the equations of hydrodynamics and electromagnetism and a number of physically realistic assumptions, the problem is reduced to a system of partial differential equations. The solution of such a system of equations is particularly difficult. Computer simulation in the COMSOL Multiphysics environment allowed us to obtain changes of the shape the charged of drop with time.