On the unique solvability of initial boundary value problems for the Vlasov-Poisson system of equations in a half-space

DOI10.1134/S1064562412020263zbMath1387.35578OpenAlexW2063087647MaRDI QIDQ1760995

Alexander L. Skubachevskii

Publication date: 15 November 2012

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

Full work available at URL: https://doi.org/10.1134/s1064562412020263

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Vlasov equations (35Q83) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for mixed-type systems of PDEs (35M32) Classical solutions to PDEs (35A09)

Related Items (7)

Classical solutions of the Vlasov-Poisson equations with external magnetic field in a half-space ⋮ A general way to confined stationary Vlasov-Poisson plasma configurations ⋮ The kinetic and hydrodynamic Bohm criteria for plasma sheath formation ⋮ On the existence of global compactly supported weak solutions of the Vlasov-Poisson system with an external magnetic field ⋮ Stationary solutions of the Vlasov–Poisson system for two-component plasma under an external magnetic field in a half-space ⋮ Initial-boundary value problems for the Vlasov-Poisson equations in a half-space ⋮ Sharp decay estimates for the Vlasov-Poisson system with an external magnetic field

Cites Work

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• Vlasov equations
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• Global symmetric solutions of the initial value problem of stellar dynamics
• On the initial boundary-value problem for the Vlasov-Poisson system: Existence of weak solutions and stability
• Global weak solutions of Vlasov‐Maxwell systems
• The generalized Vlasov kinetic equation
• Global existence of smooth solutions to the vlasov poisson system in three dimensions

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