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• W2962760274 abstract "We consider the two-dimensional Vlasov-Poisson system to model a two-component plasma whose distribution function is constant with respect to the third space dimension. First, we show how this two-dimensional Vlasov-Poisson system can be derived from the full three-dimensional system. The existence of compactly supported steady states with vanishing electric potential in a three-dimensional setting has already been investigated by A. L. Skubachevskii [15]. We show that his approach can easily be adapted to the two-dimensional system. However, our main result is to prove the existence of compactly supported steady states even with a nontrivial self-consistent electric potential." @default.
• W2962760274 created "2019-07-30" @default.
• W2962760274 creator A5038576508 @default.
• W2962760274 date "2019-07-23" @default.
• W2962760274 modified "2023-10-13" @default.
• W2962760274 title "Confined steady states of a Vlasov‐Poisson plasma in an infinitely long cylinder" @default.
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• W2962760274 doi "https://doi.org/10.1002/mma.5728" @default.
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