Global weak solutions of the Vlasov-Maxwell system with boundary conditions
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Publication:2367961
DOI10.1007/BF02096997zbMath0787.35072OpenAlexW2070861003MaRDI QIDQ2367961
Publication date: 19 May 1994
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02096997
compactnesscollisionless plasmaglobal weak solutionweak limitvelocity averagingVlasov-Maxwell systemplasma-boundary interaction
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Cites Work
- Unnamed Item
- Singularity formation in a collisionless plasma could occur only at high velocities
- Boundary value problems in abstract kinetic theory
- Absence of shocks in an initially dilute collisionless plasma
- Abstract time-dependent transport equations
- Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data
- Boundary value problems for the Vlasov-Maxwell equation in one dimension
- Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
- Global weak solutions of Vlasov‐Maxwell systems
- The Initial Boundary Problem for the Maxwell Equations in the Presence of a Moving Body
- A boundary‐value problem for the stationary vlasov‐poisson equations: The plane diode
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