Application of the averaging method to the gyrokinetic plasma

Details Application of the averaging method to the gyrokinetic plasma Application of the averaging method to the gyrokinetic plasma

2007-02-26

arxiv.org/abs/math/0702763v1

Asymptotic Analysis 46 (2006) 1--28

Mathematics

Functional Analysis

Scientific paper

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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