PERIODIC SOLUTIONS OF THE VLASOV–POISSON SYSTEM WITH BOUNDARY CONDITIONS

DOI10.1142/S0218202500000355zbMath1019.76047OpenAlexW2139289958MaRDI QIDQ4798811

Mihai Bostan, Frederic Poupaud

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202500000355

zbMATH Keywords

existenceuniquenessmild solutionVlasov-Poisson systemweak periodic solutionstime-periodic boundary conditions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (1)

Numerical study by a controllability method for the calculation of the time-periodic solutions of the Maxwell and Vlasov-Maxwell systems

Cites Work

• Ordinary differential equations, transport theory and Sobolev spaces
• Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• Global weak solutions of the Vlasov-Maxwell system with boundary conditions
• Global weak solutions of Vlasov‐Maxwell systems
• Local existence of solutions of the vlasov‐maxwell equations and convergence to the vlasov‐poisson equations for infinite light velocity
• Boundary value problems for the stationary Vlasov-Maxwell system
• A boundary‐value problem for the stationary vlasov‐poisson equations: The plane diode
• Unnamed Item

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