Asymptotic behavior for the Vlasov-Poisson equations with strong external magnetic field. Straight magnetic field lines - Archive ouverte HAL Access content directly
Journal Articles SIAM Journal on Mathematical Analysis Year : 2019

Asymptotic behavior for the Vlasov-Poisson equations with strong external magnetic field. Straight magnetic field lines

Mihai Bostan
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Abstract

The subject matter of this paper concerns the Vlasov-Poisson equations in the framework of magnetic confinement. We study the behavior of the Vlasov-Poisson system with strong external magnetic field, when neglecting the curvature of the magnetic lines. The arguments rely on averaging techniques. We intend to determine second order approximations and to retrieve the usual electric cross field drift, the magnetic gradient drift, etc.
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Dates and versions

hal-01683869 , version 1 (14-01-2018)
hal-01683869 , version 2 (19-08-2019)

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Mihai Bostan. Asymptotic behavior for the Vlasov-Poisson equations with strong external magnetic field. Straight magnetic field lines. SIAM Journal on Mathematical Analysis, 2019, 51 (3), pp.2713-2747. ⟨10.1137/18M122813X⟩. ⟨hal-01683869v2⟩
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