Galerkin approximations for the one‐dimensional vlasov‐poisson equation | Zendy

Cooper J. | Zendy; Neunzert H. | Zendy

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Galerkin approximations for the one‐dimensional vlasov‐poisson equation

Author(s) -

Cooper J.,

Neunzert H.

Publication year - 1983

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1670050131

Subject(s) - mathematics , galerkin method , vlasov equation , mathematical analysis , space (punctuation) , variable (mathematics) , discrete poisson equation , series (stratigraphy) , poisson's equation , scheme (mathematics) , poisson distribution , partial differential equation , finite element method , laplace's equation , plasma , physics , quantum mechanics , paleontology , linguistics , biology , thermodynamics , statistics , philosophy

By taking Fourier series in the space variable, and truncating, we construct a Galerkin scheme for approximate solutions to the one dimensional Vlasov‐Poisson equation. Existence is proved for the approximate solutions and they are shown to converge to an exact solution in a weak sense.

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