Asymptotic behavior for the Vlasov-Poisson equations with strong external curved magnetic field. Part II : general initial conditions

Mihai Bostan (1)

1 I2M - Institut de Mathématiques de Marseille

We discuss the asymptotic behavior of the Vlasov-Poisson system in the framework of the magnetic confinement, that is, under a strong external magnetic field. We concentrate on curved three dimensional magnetic fields. We derive second order approximations, when the magnetic field becomes large, for general initial particle densities.

Mots clés: Vlasov-Poisson system; averaging; homogenization

Domaines: Equations aux dérivées partielles [math.AP]

Mihai Bostan. Asymptotic behavior for the Vlasov-Poisson equations with strong external curved magnetic field. Part II : general initial conditions. 2019. ⟨hal-02047472⟩