ABSTRACT
This chapter deals with a numerical–asymptotic model of breaking plane two-dimensional relativistic electron oscillations. It considers the plasma to be a cold, ideal, relativistic electron liquid, neglecting collisional and recombination effects, as well as the movement of ions. An excess of positive charge at the origin of the coordinates leads to the movement of electrons in the direction of the centre of the domain, which, after half a period of oscillation, generates another distribution of the density function, the concentration of the electrons in the centre of the domain at times of regular maxima can many times exceed the equilibrium value. If the plasma oscillations would keep their spatial form in time, then the presented electron density images would regularly change each other through each half of the period, generating a strictly periodic sequence of extremes with constant amplitudes in the centre of the domain.
