Abstract:
Equilibrium plasma configurations in the magnetic field are considered for three types cylindrical Galateya-traps with conductors immersed in the plasma. Mathematical models of configurations having any symmetry are based on boundary value problems with the two-dimensional semilinear Grad–Shafranov equation of elliptic type. Plasma, magnetic field and electric current spreading in the trap and their properties are investigated in computation. As a common property of all configurations, the electric current vanishes where the plasma pressure is maximum. The maximum current is located near the plasma configuration boundary.