Quasineutral limit of the Vlasov-Poisson system with massless electrons

Details Quasineutral limit of the Vlasov-Poisson system with massless electrons Quasineutral limit of the Vlasov-Poisson system with massless electrons

2010-04-06

arxiv.org/abs/1004.0932v3

Mathematics

Analysis of PDEs

37 pages

Scientific paper

In this paper, we study the quasineutral limit (in other words the limit when the Debye length tends to zero) of Vlasov-Poisson like equations describing the behaviour of ions in a plasma. We consider massless electrons, with a charge density following a Maxwell-Boltzmann law. For cold ions, using the relative entropy method, we derive the classical Isothermal Euler or the (inviscid) Shallow Water systems from fluid mechanics. In a second time, we study the combined quasineutral and strong magnetic field regime for such plasmas.

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