On classical solutions to the first mixed problem for the Vlasov-Poisson system in an infinite cylinder

DOI10.1134/S1064562419010277zbMath1422.35012OpenAlexW2946383898MaRDI QIDQ2424397

Alexander L. Skubachevskii, Yulia O. Belyaeva

Publication date: 24 June 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562419010277

zbMATH Keywords

Dirichlet conditionVlasov-Poisson system

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Second-order elliptic systems (35J47)

Cites Work

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• Initial-boundary value problems for the Vlasov-Poisson equations in a half-space
• Vlasov-Poisson equations for a two-component plasma in a homogeneous magnetic field
• The generalized Vlasov kinetic equation
• Global existence of smooth solutions to the vlasov poisson system in three dimensions

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