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- W4297244098 abstract "This paper is concerned with the analysis of a mathematical model arising in plasma physics, more specifically in fusion research. It directly follows cite{DHK1}, where the tri-dimensional analysis of a Vlasov-Poisson equation with finite Larmor radius scaling was led, corresponding to the case of ions with massless electrons whose density follows a linearized Maxwell-Boltzmann law. We now consider the case of electrons in a background of fixed ions, which was only sketched in cite{DHK1}. Unfortunately, there is evidence that the formal limit is false in general. Nevertheless, we formally derive a fluid system for particular monokinetic data. We prove the local in time existence of analytic solutions and rigorously study the limit (when the Debye length vanishes) to a new anisotropic fluid system. This is achieved thanks to Cauchy-Kovalevskaya type techniques, as introduced by Caflisch cite{Caf} and Grenier cite{Gre1}." @default.
- W4297244098 created "2022-09-28" @default.
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- W4297244098 date "2010-11-28" @default.
- W4297244098 modified "2023-09-28" @default.
- W4297244098 title "On the three-dimensional finite Larmor radius approximation: the case of electrons in a fixed background of ions" @default.
- W4297244098 doi "https://doi.org/10.48550/arxiv.1011.6041" @default.
- W4297244098 hasPublicationYear "2010" @default.
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