Periodic solutions of the 1D Vlasov-Maxwell system with boundary conditions

DOI<1195::AID-MMA161>3.0.CO;2-R 10.1002/1099-1476(20000925)23:14<1195::AID-MMA161>3.0.CO;2-RzbMath0965.35010OpenAlexW1970074969MaRDI QIDQ4522364

Mihai Bostan, Frederic Poupaud

Publication date: 22 July 2001

Full work available at URL: https://doi.org/10.1002/1099-1476(20000925)23:14<1195::aid-mma161>3.0.co;2-r

zbMATH Keywords

weak solutionmild solutionkinetic theorySchauder fixed point theoremregularized systemtime-periodic boundary conditions\(L^\infty\)-estimates for the charge and current densitiesclassical and relativistic form

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Statistical mechanics of plasmas (82D10)

Related Items (2)

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

Cites Work

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• Boundary value problems for the stationary Vlasov-Maxwell system
• Solutions périodiques du système de Vlasov-Poisson avec conditions aux limites
• A boundary‐value problem for the stationary vlasov‐poisson equations: The plane diode

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