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

Ghendrih Philippe; Hauray Maxime; Anne Nouri

doi:10.3934/krm.2009.2.707

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2009, Volume 2, Issue 4: 707-725. Doi: 10.3934/krm.2009.2.707

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

1.
CEA, DRHC, F-13108 Saint-Paul lez Durance
2.
LATP, Université de Provence, 39 rue F.Joliot Curie, 13453 Marseille Cedex 13

Received: February 28, 2009

Published: November 2009

Abstract Related Papers Cited by

Abstract

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.

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Mathematics Subject Classification: Primary: 41A60, 76P05; Secondary: 82A70, 78A35.

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