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Reports (Research Report) Year : 2007

The Vlasov-Poisson system with strong external magnetic field. Finite Larmor radius regime

Abstract

We study here the finite Larmor radius regime for the Vlasov-Poisson equations with strong external magnetic field. One of the key points is to replace the particle distribution by the center distribution of the Larmor circles. The limit of these densities satisfies a transport equation, whose velocity is given by the gyro-average of the electric field.
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Dates and versions

inria-00139666 , version 1 (02-04-2007)
inria-00139666 , version 2 (05-04-2007)
inria-00139666 , version 3 (25-04-2007)
inria-00139666 , version 4 (18-02-2008)
inria-00139666 , version 5 (20-02-2008)

Identifiers

  • HAL Id : inria-00139666 , version 5

Cite

Mihai Bostan. The Vlasov-Poisson system with strong external magnetic field. Finite Larmor radius regime. [Research Report] RR-6159, INRIA. 2007, pp.35. ⟨inria-00139666v5⟩
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