Stationary solutions of Vlasov equations for high-temperature two-component plasma

We consider the first mixed problem for the Vlasov–Poisson equations in infinite cylinder. This problem describes evolution of density of distribution for ions and electrons in a high-temperature plasma in the presence of an outer magnetic field. We construct stationary solutions of the Vlasov–Poisson system of equations with the trivial potential of the self-consistent electric field describing two-component plasma in infinite cylinder such that their supports are located in a distance from the boundary of the domain.