Abstract
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.
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