Math. Model. Nat. Phenom.
Volume 12, Number 6, 2017Special Issue - Nonlocal and delay equations
|Page(s)||37 - 50|
|Published online||30 December 2017|
Stationary solutions of the Vlasov–Poisson system for two-component plasma under an external magnetic field in a half-space
6 Miklukho-Maklaya St.,
Accepted: 13 November 2017
We consider the first mixed problem for the Vlasov–Poisson equations with an external magnetic field in a half-space. This problem describes the evolution of the density distributions of ions and electrons in a high temperature plasma with a fixed potential of electric field on a boundary. For a sufficiently large induction of external magnetic field there are constructed stationary solutions supported on some distance from the hyperplane x1 = 0.
Mathematics Subject Classification: 517.9
Key words: Vlasov–Poisson equations / mixed problem / stationary solutions / external magnetic field / half-space
© EDP Sciences, 2017
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