On the Stability of Strict Equilibrium of Plasma in Two-Dimensional Mathematical Models of Magnetic Traps

Known from previous works, instabilities in a two-dimensional mathematical model of plasma configuration equilibrium are analyzed using a Galatea-belt toroidal magnetic trap straightened into a cylinder and possessing plane symmetry. It is established that the previously observed large values of the two-dimensional perturbation velocity in the plane of the cylinder cross section arise at the periphery of the configuration near its conventional boundary. They do not grow with time and are caused by arbitrarily small values of density, which is not determined by the idealized model of strict equilibrium. By varying the density, it is possible to influence stability. Three-dimensional (corrugated along the axis of the cylinder) perturbations grow with time in accordance with traditional Lyapunov instability. The dependence of its quantitative characteristics on problem parameters is determined in calculations.