Existence and uniqueness theory of the Vlasov-Poisson system with application to the problem with cylindrical symmetry

DOI10.1016/0022-247X(82)90050-6zbMath0506.45012MaRDI QIDQ1836839

Stephen Wollmann

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

uniquenessPoisson's equationglobal existencecylindrical symmetryVlasov's equationintegral bounds

Mathematics Subject Classification ID

Integro-partial differential equations (45K05)

Related Items

A Vlasov-Poisson plasma model with non-L1 data ⋮ A Legendre-Fourier spectral method with exact conservation laws for the Vlasov-Poisson system ⋮ Nonlinear stability of fluid and plasma equilibria ⋮ The use of the heat operator in an existence theory problem of the Vlasov equation ⋮ A refinement of the existence and uniqueness theorem for the Vlasov- Poisson system ⋮ A note on the nonlinear stability of a spatially symmetric vlasov‐possion flow ⋮ Weak solutions of the initial value problem for the unmodified non‐linear vlasov equation ⋮ Time evolution of a plasma-charge system with infinite mass and velocities ⋮ A discrete approximation to the one-dimensional vlasov-poisson system

Cites Work

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