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Journal Articles Asymptotic Analysis Year : 2006

Application of the averaging method to the gyrokinetic plasma

Abstract

we show that the solution to an oscillatory-singularly perturbed ordinary differential equation may be asymptotically expanded into a sum of oscillating terms. Each of those terms writes as an oscillating operator acting on the solution to a non oscillating ordinary differential equation with an oscillating correction added to it. The expression of the non oscillating ordinary differential equations are defined by a recurrence relation. We then apply this result to problems where charged particles are submitted to large magnetic field.
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Dates and versions

hal-00133404 , version 1 (26-02-2007)

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Emmanuel Frénod. Application of the averaging method to the gyrokinetic plasma. Asymptotic Analysis, 2006, 46, pp.1--28. ⟨10.48550/arXiv.math/0702763⟩. ⟨hal-00133404⟩
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