December  2009, 2(4): 707-725. doi: 10.3934/krm.2009.2.707

Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution

1. 

CEA, DRHC, F-13108 Saint-Paul lez Durance, France

2. 

LATP, Université de Provence, 39 rue F.Joliot Curie, 13453 Marseille Cedex 13, France, France

Received  March 2009 Published  October 2009

A finite Larmor radius approximation is rigourously derived from the Vlasov equation, in the limit of large (and uniform) external magnetic field. Existence and uniqueness of a solution is proven in the stationary frame.
Citation: Ghendrih Philippe, Hauray Maxime, Anne Nouri. Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution. Kinetic & Related Models, 2009, 2 (4) : 707-725. doi: 10.3934/krm.2009.2.707
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