On local solutions of the initial value problem for the Vlasov-Maxwell equation

DOI10.1007/BF01463395zbMath0631.76090OpenAlexW2034026135MaRDI QIDQ1094987

Kiyoshi Asano

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01463395

zbMATH Keywords

initial value problemunique solutionVlasov-Maxwell equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Partial differential equations of mathematical physics and other areas of application (35Q99) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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Cites Work

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• Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data
• Boundary value problems for the Vlasov-Maxwell equation in one dimension
• Global symmetric solutions of the initial value problem of stellar dynamics
• On classical solutions in the large in time of two-dimensional Vlasov's equation
• An existence and uniqueness theorem for the Vlasov-Maxwell system
• Local existence of solutions of the vlasov‐maxwell equations and convergence to the vlasov‐poisson equations for infinite light velocity
• Ein Existenzsatz für die Vlasov‐Gleichung mit selbstkonsistentem Magnetfeld