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Asymptotic behavior for the Vlasov-Poisson equations with strong external curved magnetic field. Part I : well prepared initial conditions

Abstract : The subject matter of this paper concerns the magnetic confinement. We focus on the asymptotic behavior of the three dimensional Vlasov-Poisson system with strong external magnetic field. We investigate second order approximations, when taking into account the curvature of the magnetic lines. The study relies on multi-scale analysis and allows us to determine a regular reformulation for the Vlasov-Poisson equations with well prepared initial conditions, when the magnetic field becomes large.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-02088870
Contributor : Mihai Bostan <>
Submitted on : Tuesday, December 15, 2020 - 10:01:54 PM
Last modification on : Thursday, December 17, 2020 - 4:11:56 AM

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  • HAL Id : hal-02088870, version 2

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Mihai Bostan. Asymptotic behavior for the Vlasov-Poisson equations with strong external curved magnetic field. Part I : well prepared initial conditions. 2020. ⟨hal-02088870v2⟩

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