The Vlasov equation with strong magnetic field and oscillating electric field as a model of isotope resonant separation

Details The Vlasov equation with strong magnetic field and oscillating electric field as a model of isotope resonant separation The Vlasov equation with strong magnetic field and oscillating electric field as a model of isotope resonant separation

2007-02-26

arxiv.org/abs/math/0702767v1

Electronic Journal of Differential Equations 2000 (2002) 1--20

Mathematics

Functional Analysis

Scientific paper

We study qualitative behavior of the Vlasov equation with strong external magnetic field and oscillating electric field. This model is relevant in order to understand isotop resonant separation. We show that the effective equation is a kinetic equation with a memory term. This memory term involves a pseudo-differential operator whose kernel is characterized by an integral equation involving Bessel functions. In some particular cases, the kernel is explicitly given.

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