Asymptotic behavior for the Vlasov-Poisson equations with strong external curved magnetic field. Part I : well prepared initial conditions - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2019

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

Mihai Bostan
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Résumé

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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Dates et versions

hal-02088870 , version 1 (03-04-2019)
hal-02088870 , version 2 (15-12-2020)

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  • HAL Id : hal-02088870 , version 1

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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. 2019. ⟨hal-02088870v1⟩
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