Time periodic solutions for the Vlasov-Maxwell equations.

DOI10.1016/j.crma.2004.07.008zbMath1073.35203OpenAlexW2055019740MaRDI QIDQ1887014

Mihai Bostan

Publication date: 23 November 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.07.008

zbMATH Keywords

existenceweak formulationa priori estimatesbounded star-shaped domainregularized Vlasov-Maxwell system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Periodic solutions to PDEs (35B10) Nonlinear first-order PDEs (35F20) Statistical mechanics of plasmas (82D10) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (3)

Weak solutions for the Vlasov-Poisson initial-boundary value problem with bounded electric field ⋮ Convergence of weak solutions for the stationary Vlasov-Maxwell system to weak solutions for the stationary Vlasov-Poisson system for infinite light speed. ⋮ Asymptotic behavior of weak solutions for the relativistic Vlasov-Maxwell equations with large light speed

Cites Work

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• Boundary value problems for the stationary Vlasov-Maxwell system
• Weak solutions of the initial‐boundary value problem for the Vlasov–Poisson system
• Permanent Regimes for the 1D Vlasov--Poisson System with Boundary Conditions
• Periodic solutions of the 1D Vlasov-Maxwell system with boundary conditions
• A boundary‐value problem for the stationary vlasov‐poisson equations: The plane diode

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