Article
Ufa Mathematical Journal
Volume 4, Number 2, pp. 102-114
Asymptotic analysis of the surfing acceleration model
Kalyakin L.A.
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A mathematical model of acceleration of the charge particles by the electromagnetic waves is under study. Averaging equations which describe the resonance interaction of the particle with the electromagnetic wave is obtained. We show that each particle leaves the resonance sone under growth of the time. The time length of the stay in resonance depends on the initial data and one is calculated.