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The Vlasov-Poisson system with strong external magnetic field. Finite Larmor radius regime
Mihai Bostan 1, 2, 3
(2007)

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.
1:  Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique (CERMICS)
INRIA – Ecole des Ponts ParisTech
2:  Laboratoire de Mathématiques (LM-Besançon)
CNRS : UMR6623 – Université de Franche-Comté
3:  CALVI (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA)
CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine
Mathematics/Analysis of PDEs
Vlasov-Maxwell equations – Finite Larmor radius – Gyro-average.
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