Stationary Solutions of the Vlasov Equations for a High-Temperature Two-Component Plasma

We consider the first mixed problem for the Vlasov–Poisson equations in infinite cylinder. This problem describes evolution of the distribution density 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 a two-component plasma in an infinite cylinder such that their supports are located at a distance from the boundary of the domain. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.